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Prof.Dr.

Refik KESKİN

Fen Fakültesi

Matematik Bölümü

İletişim

rkeskin@sakarya.edu.tr

(264) 295 59 82

1-MAKALELER :
1 Refik Keskin, Zafer Şiar, Olcay Karaatlı, - On the Diophantine Equation x²-kxy+y²-2ⁿ=0 - Czechoslovak Mathematical Journal(SCIE), - Vol.63138 - pp.783 - 2013 - SAU
2 Refik Keskin, Zafer Şiar - On the Lucas sequence equations Vn=kVm and Un=kUm - Colloquium Mathematicum - Vol.130 - pp.27 - DOI : 10.4064/cm130-1-3 - 2013
3 Refik Keskin, Olcay Karaatlı, Zafer Şiar - Positive Integer Solutions of the Diophantine Equations $\x^{2}-5F_{n}xy-5(-1)^{n}y^{2}=\pm 5^{r} - Miskolc Mathematical Notes(SCIE) - Vol.143 - pp.959 - 2013
4 Olcay Karaatlı, Refik Keskin - Integral Points on the Elliptic Curve $ y^{2}= x^{3}+ 27x-62$ - Journal of Inequalities and Applications(SCIE) - DOI : 10.1186/1029-242X-2013-221 - May - 2013
5 Bahar Demirtürk Bitim, Refik Keskin - On Some Diophantine Equations - Journal of Inequalities and Applications - Vol.162 - pp.1 - 2013
6 Refik Keskin, Bahar Demirtürk Bitim - Solutions of Some Diophantine Equations Using Generalized Fibonacci and Lucas Sequences - Ars Combinatoria - Vol.111 - pp.161 - 2013
7 Refik Keskin, Olcay Karaatlı, Zafer Şiar - On the Diophantine equation x^2 - kxy + y^2 + 2^n = 0 - Miskolc Mathematical Notes(SCIE) - Vol.13 - pp.375 - ISSN : 1787-2413 - Kasım - 2012 - SAU
1.1 A-SCI, SCI-E, SSCI VEYA AHCI KAPSAMINDAKİ DERGİLERDE YAYIMLANMIŞ MAKALE (Q1 OLARAK TARANAN DERGİDE) :
1 Erduvan, F; Keskin, R; - Lucas numbers which are concatenations of three repdigits - RESULTS IN MATHEMATICS - Vol.76 - ISSN : 1422-6383 - DOI : 10.1007/s00025-020-01314-0 - MAR 2021 - English - Article - 2021 - WOS:000609417800008
2 Erduvan, F; Keskin, R; Siar, Z; - Repdigits basebas products of two Lucas numbers - QUAESTIONES MATHEMATICAE - Vol.44 - pp.1283 - ISSN : 1607-3606 - DOI : 10.2989/16073606.2020.1787539 - OCT 3 2021 - English - Article - 2021 - WOS:000547417800001
3 Erduvan, F; Keskin, R; Siar, Z; - Repdigits basebas products of two Lucas numbers - QUAESTIONES MATHEMATICAE - ISSN : 1607-3606 - DOI : 10.2989/16073606.2020.1787539 - - English - Early Access - 2020 - WOS:000547417800001
4 Karaatli, O; Keskin, R; - On The Lucas Sequence Equations V-n=7 square and V-n=7V(m)square - BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY - Vol.41 - pp.335 - ISSN : 0126-6705 - DOI : 10.1007/s40840-015-0295-x - English - Article - 2018 - WOS:000419716700020
5 Keskin, R; - Solutions of some quadratic Diophantine equations - COMPUTERS & MATHEMATICS WITH APPLICATIONS - Vol.60 - pp.2225 - ISSN : 0898-1221 - DOI : 10.1016/j.camwa.2010.08.012 - OCT - English - Article - 2010 - WOS:000283449100007
1.1 B-SCI, SCI-E, SSCI VEYA AHCI KAPSAMINDAKİ DERGİLERDE YAYIMLANMIŞ MAKALE (Q2 OLARAK TARANAN DERGİDE) :
1 Siar, Z; Keskin, R; - k-Generalized Pell Numbers Which are Concatenation of Two Repdigits - MEDITERRANEAN JOURNAL OF MATHEMATICS - Vol.19 - ISSN : 1660-5446 - DOI : 10.1007/s00009-022-02099-y - AUG 2022 - English - Article - 2022 - WOS:000817294200001
2 Siar, Z; Keskin, R; Erduvan, F; - Fibonacci or Lucas Numbers Which are Products of Two Repdigits in Base b - BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY - ISSN : 1678-7544 - DOI : 10.1007/s00574-021-00243-y - - English - Article - 2021 - WOS:000617087700001
3 Siar, Z; Keskin, R; - ON PERFECT POWERS WHICH ARE SUM OR DIFFERENCE OF TWO LUCAS NUMBERS - MISKOLC MATHEMATICAL NOTES - Vol.22 - pp.951 - ISSN : 1787-2405 - DOI : 10.18514/MMN.2021.2852 - 2021 - English - Article - 2021 - WOS:000740946200009
4 Guney Duman, M; Ogut, U; Keskin, R; - Generalized Lucas Numbers of the form wx(2) and wV(m)x(2) - HOKKAIDO MATHEMATICAL JOURNAL - Vol.47 - pp.465 - ISSN : 0385-4035 - English - Article - 2018 - WOS:000447636500002
5 Keskin, R; Duman, MG; - A NOTE ON SOME DIOPHANTINE EQUATIONS - MISKOLC MATHEMATICAL NOTES - Vol.18 - pp.235 - ISSN : 1787-2405 - DOI : 10.18514/MMN.2017.1857 - English - Article - 2017 - WOS:000406745600021
6 Karaatli, O; Keskin, R; - ON THE EQUATIONS U-n=5 square AND V-n=5 square - MISKOLC MATHEMATICAL NOTES - Vol.16 - pp.925 - ISSN : 1787-2405 - English - Article - 2015 - WOS:000371145000024
7 Bitim, BD; Keskin, R; - On some Diophantine equations - JOURNAL OF INEQUALITIES AND APPLICATIONS - ISSN : 1029-242X - DOI : 10.1186/1029-242X-2013-162 - English - Article - 2013 - WOS:000323572700003
8 Karaatli, O; Keskin, R; - Integral points on the elliptic curve y(2) = x(3)+27x-62 - JOURNAL OF INEQUALITIES AND APPLICATIONS - ISSN : 1029-242X - DOI : 10.1186/1029-242X-2013-221 - English - Article - 2013 - WOS:000323605100004
9 Keskin, R; Karaatli, O; Siar, Z; - POSITIVE INTEGER SOLUTIONS OF THE DIOPHANTINE EQUATIONS x(2)-5F(n)(xy)-5(-1)(n)y(2) = +/- 5(r) - MISKOLC MATHEMATICAL NOTES - Vol.14 - pp.959 - ISSN : 1787-2405 - English - Article - 2013 - WOS:000338514500019
10 Keskin, R; - PARABOLIC CLASS NUMBER OF A SUBGROUP OF THE NORMALIZER OF Gamma(0)(m) - MISKOLC MATHEMATICAL NOTES - Vol.13 - pp.365 - ISSN : 1787-2405 - English - Article - 2012 - WOS:000315710900015
11 Keskin, R; Karaatli, O; Siar, Z; - ON THE DIOPHANTINE EQUATION x(2)-kxy+y(2)+2(n)=0 - MISKOLC MATHEMATICAL NOTES - Vol.13 - pp.375 - ISSN : 1787-2405 - English - Article - 2012 - WOS:000315710900016
12 Refik Keskin - Parabolic class number of a subgroup of the normalizer of $Gamma_{0(m)}$ - Miskolc Mathematical Notes - Vol.2 - pp.365 - December - 2012
13 Ozgur, NY; Keskin, R; - Proof of a conjecture related to the parabolic class numbers of some Fuchsian groups - ACTA MATHEMATICA SCIENTIA - Vol.25 - pp.215 - ISSN : 0252-9602 - APR - English - Article - 2005 - WOS:000228818900003
1.1 C-SCI, SCI-E, SSCI VEYA AHCI KAPSAMINDAKİ DERGİLERDE YAYIMLANMIŞ MAKALE (Q3 OLARAK TARANAN DERGİDE) :
1 Erduvan, F; Keskin, R; - Nonnegative integer solutions of the equation F-n - F-m=5(a) - TURKISH JOURNAL OF MATHEMATICS - Vol.43 - pp.1115 - ISSN : 1300-0098 - DOI : 10.3906/mat-1810-83 - English - Article - 2019 - WOS:000475501700005
2 Erduvan, F; Keskin, R; - Fibonacci and Lucas numbers as products of two repdigits - TURKISH JOURNAL OF MATHEMATICS - Vol.43 - pp.2142 - ISSN : 1300-0098 - DOI : 10.3906/mat-1905-24 - English - Article - 2019 - WOS:000488222100005
3 Siar, Z; Keskin, R; - Pythagorean triples containing generalized Lucas numbers - TURKISH JOURNAL OF MATHEMATICS - Vol.42 - pp.1904 - ISSN : 1300-0098 - DOI : 10.3906/mat-1702-102 - English - Article - 2018 - WOS:000439579600028
4 Keskin, R; Karaatli, O; - Generalized Fibonacci and Lucas numbers of the form 5x(2) - INTERNATIONAL JOURNAL OF NUMBER THEORY - Vol.11 - pp.931 - ISSN : 1793-0421 - DOI : 10.1142/S1793042115500517 - English - Article - 2015 - WOS:000352447300015
5 Keskin, R; - Suborbital graphs for the normalizer of Gamma(0)(m) - EUROPEAN JOURNAL OF COMBINATORICS - Vol.27 - pp.193 - ISSN : 0195-6698 - DOI : 10.1016/j.ejc.2004.09.004 - FEB - English - Article - 2006 - WOS:000235510800004
6 Keskin, R; - A. note on some modular subgroups - ROCKY MOUNTAIN JOURNAL OF MATHEMATICS - Vol.35 - pp.573 - ISSN : 0035-7596 - English - Article - 2005 - WOS:000229166400013
1.1 D-SCI, SCI-E, SSCI VEYA AHCI KAPSAMINDAKİ DERGİLERDE YAYIMLANMIŞ MAKALE (Q4 OLARAK TARANAN DERGİDE) :
1 Siar, Z; Keskin, R; - On the Exponential Diophantine Equation (a(n)-2)(b(n)-2) = x(2)* - MATHEMATICAL NOTES - Vol.111 - pp.903 - ISSN : 0001-4346 - DOI : 10.1134/S0001434622050248 - JUN 2022 - English - Article - 2022 - WOS:000815859100024
2 Erduvan, F.; Keskin, R.; - Pell and Pell-Lucas Numbers as Product of Two Repdigits - MATHEMATICAL NOTES - Vol.112 - pp.861 - ISSN : 0001-4346 - DOI : 10.1134/S0001434622110207 - English - Article - 2022 - WOS:000922194000020
3 Erduvan, F; Keskin, R; Siar, Z; - Repdigits base b as products of two Fibonacci numbers - INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS - ISSN : 0019-5588 - DOI : 10.1007/s13226-021-00041-8 - - English - Article - 2021 - WOS:000662110400003
4 Siar, Z; Keskin, R; - ON THE DIOPHANTINE EQUATION F-n - F-m=2(alpha) - COLLOQUIUM MATHEMATICUM - Vol.159 - pp.119 - ISSN : 0010-1354 - DOI : 10.4064/cm7485-12-2018 - 2020 - English - Article - 2020 - WOS:000571727900011
5 Erduvan, F; Keskin, R; - Repdigits as products of two Fibonacci or Lucas numbers - PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES - Vol.130 - ISSN : 0253-4142 - DOI : 10.1007/s12044-020-0554-0 - MAR 16 2020 - English - Article - 2020 - WOS:000519897900001
6 Keskin, R; Ogut, U; - Generalized Lucas numbers of the form 11x(2) -/+ 1 - HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS - Vol.48 - pp.1035 - ISSN : 1303-5010 - DOI : 10.15672/HJMS.2018.558 - English - Article - 2019 - WOS:000482122600009
7 Keskin, R; - A note on the exponential diophantine equation (a(n)-1)(b(n)-1) = x(2) - PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES - Vol.129 - ISSN : 0253-4142 - DOI : 10.1007/s12044-019-0520-x - English - Article - 2019 - WOS:000477624700008
8 Bitim, BD; Keskin, R; - Solutions of Some Diophantine Equations in terms of Generalized Fibonacci and Lucas Numbers - HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS - Vol.48 - pp.451 - ISSN : 1303-5010 - DOI : 10.15672/HJMS.2017.527 - English - Article - 2019 - WOS:000464826600011
9 Bitim, BD; Keskin, R; - On solutions of the diophantine equation F-n-F-m=3(a) - PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES - Vol.129 - ISSN : 0253-4142 - DOI : 10.1007/s12044-019-0524-6 - English - Article - 2019 - WOS:000480548500003
10 Keskin, R; Duman, MG; Ogut, U; - ON THE EQUATIONS V-n = 11V(m)x(2) and V-n = 13V(m)x(2) - MATHEMATICAL REPORTS - Vol.20 - pp.337 - ISSN : 1582-3067 - English - Article - 2018 - WOS:000456105000001
11 Keskin, R; Karaatli, O; Siar, Z; Ogut, U; - On the determination of solutions of simultaneous Pell equations x(2) - (a(2)-1) y(2) = y(2) - pz(2)=1 - PERIODICA MATHEMATICA HUNGARICA - Vol.75 - pp.336 - ISSN : 0031-5303 - DOI : 10.1007/s10998-017-0203-2 - English - Article - 2017 - WOS:000414229100023
12 Siar, Z; Keskin, R; - THE SQUARE TERMS IN GENERALIZED LUCAS SEQUENCE WITH PARAMETERS P AND Q - MATHEMATICA SCANDINAVICA - Vol.118 - pp.13 - ISSN : 0025-5521 - English - Article - 2016 - WOS:000375734200002
13 Siar, Z; Keskin, R; - On square classes in generalized Fibonacci sequences - ACTA ARITHMETICA - Vol.174 - pp.277 - ISSN : 0065-1036 - DOI : 10.4064/aa8436-4-2016 - English - Article - 2016 - WOS:000384721600005
14 Keskin, R; Ogut, U; - Generalized Fibonacci numbers of the form - PERIODICA MATHEMATICA HUNGARICA - Vol.73 - pp.165 - ISSN : 0031-5303 - DOI : 10.1007/s10998-016-0133-4 - English - Article - 2016 - WOS:000387090300003
15 Karaatli, O; Keskin, R; - GENERALIZED LUCAS NUMBERS OF THE FORM 5kx(2) AND 7kx(2) - BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY - Vol.52 - pp.1467 - ISSN : 1015-8634 - DOI : 10.4134/BKMS.2015.52.5.1467 - English - Article - 2015 - WOS:000363840500005
16 Keskin, R - GENERALIZED FIBONACCI AND LUCAS NUMBERS OF THE FORM wx(2) AND wx(2) 1 - BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY - Vol.51 - pp.1041 - ISSN : 1015-8634 - DOI : 10.4134/BKMS.2014.51.4.1041 - JUL - English - Article - 2014 - WOS:000340015700013
17 Siar, Z; Keskin, R - THE SQUARE TERMS IN GENERALIZED LUCAS SEQUENCES - MATHEMATIKA - Vol.60 - pp.85 - ISSN : 0025-5793 - DOI : 10.1112/S0025579313000193 - JAN - English - Article - 2014 - WOS:000331780400006
18 Keskin, R; Siar, Z - Positive integer solutions of the diophantine equation x(2)-L(n)xy +(-1)(n)y(2) = +/- 5(r) - PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES - Vol.124 - pp.301 - ISSN : 0253-4142 - DOI : 10.1007/s12044-014-0194-3 - AUG - English - Article - 2014 - WOS:000342169600003
19 Siar, Z; Keskin, R; - SOME NEW IDENTITIES CONCERNING GENERALIZED FIBONACCI AND LUCAS NUMBERS - HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS - Vol.42 - pp.211 - ISSN : 1303-5010 - English - Article - 2013 - WOS:000324009500002
20 Zafer Şiar, Refik Keskin - Some New Identities Concerning Generalized Fibonacci and Lucas Numbers - Hacettepe Journal of Mathematics and Statistics - Vol.42 - pp.211 - 2013
21 Zafer Şiar, Refik Keskin - Some New Identities Concerning Generalized Fibonacci and Lucas Numbers - Hacettepe Journal of Mathematics and Statistics - 2013
22 Keskin, R; Siar, Z; - ON THE LUCAS SEQUENCE EQUATIONS V-n = kV(m) AND U-n = kU(m) - COLLOQUIUM MATHEMATICUM - Vol.130 - pp.27 - ISSN : 0010-1354 - DOI : 10.4064/cm130-1-3 - English - Article - 2013 - WOS:000316775100003
23 Siar, Z; Keskin, R - SOME NEW IDENTITIES CONCERNING GENERALIZED FIBONACCI AND LUCAS NUMBERS - HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS - Vol.42 - pp.211 - ISSN : 1303-5010 - JUN - English - Article - 2013 - WOS:000324009500002
24 Keskin, R; Demirturk, B; - Solutions of Some Diophantine Equations Using Generalized Fibonacci and Lucas Sequences - ARS COMBINATORIA - Vol.111 - pp.161 - ISSN : 0381-7032 - JUL - English - Article - 2013 - WOS:000322091500014
25 Keskin, R; Siar, Z; Karaatli, O; - On the Diophantine equation x(2) - kxy plus y(2)-2(n)=0 - CZECHOSLOVAK MATHEMATICAL JOURNAL - Vol.63 - pp.783 - ISSN : 0011-4642 - DOI : 10.1007/s10587-013-0052-y - SEP - English - Article - 2013 - WOS:000326895800013
26 Keskin, R; Bitim, BD - Fibonacci and Lucas Congruences and Their Applications - ACTA MATHEMATICA SINICA-ENGLISH SERIES - Vol.27 - pp.725 - ISSN : 1439-8516 - DOI : 10.1007/s10114-011-9744-0 - APR - English - Article - 2011 - WOS:000288908300009
27 Keskin, R; Demirturk, B; - On Suborbital Graphs for the Normalizer of Gamma(0)(N) - ELECTRONIC JOURNAL OF COMBINATORICS - Vol.16 - ISSN : 1077-8926 - SEP 18 - English - Article - 2009 - WOS:000270045300004
28 Keskin, R; - A note on some Fuchsian groups - ALGEBRA COLLOQUIUM - Vol.12 - pp.139 - ISSN : 1005-3867 - MAR - English - Article - 2005 - WOS:000226093600012
29 Keskin, R; Ozgur, NY; - A note on some subgroups of PSL(2,C) - ALGEBRA COLLOQUIUM - Vol.10 - pp.491 - ISSN : 1005-3867 - DEC - English - Article - 2003 - WOS:000186660000004
1.2-ESCI VE/VEYA SCOPUS KAPSAMINDAKİ DERGİLERDE YAYIMLANMIŞ MAKALE :
1 Erduvan, F; Keskin, R; - Balancing numbers which are concatenations of three repdigits - CARPATHIAN MATHEMATICAL PUBLICATIONS - Vol.16 - pp.148 - ISSN : 2075-9827 - DOI : 10.15330/cmp.16.1.148-157 - English - Article - 2024 - WOS:001267546100009
2 Erduvan, F; Keskin, R; - FIBONACCI NUMBERS WHICH ARE CONCATENATIONS OF THREE REPDIGITS - MATEMATICKI VESNIK - Vol.74 - pp.155 - ISSN : 0025-5165 - 2022 - English - Article - 2022 - WOS:000830118800002
3 Erduvan, F; Keskin, R; Luca, F; - Fibonacci and Lucas numbers as difference of two repdigits - RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO - Vol.71 - pp.575 - ISSN : 0009-725X - DOI : 10.1007/s12215-021-00645-3 - AUG 2022 - English - Article - 2022 - WOS:000679242800002
4 Sahukar, MK; Siar, Z; Keskin, R; Panda, GK; - Perfect squares in the sum and difference of balancing-like numbers - NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS - Vol.28 - pp.286 - ISSN : 1310-5132 - DOI : 10.7546/nntdm.2022.28.2.286-301 - 2022 - English - Article - 2022 - WOS:000824438300010
5 Siar, Z; Erduvan, F; Keskin, R; - Repdigits Base b as Difference of Two Fibonacci Numbers - JOURNAL OF MATHEMATICAL STUDY - Vol.55 - pp.84 - ISSN : 2096-9856 - DOI : 10.4208/jms.v55n1.22.07 - MAR 2022 - English - Article - 2022 - WOS:000753379100007
6 Erduvan, F; Keskin, R; - Fibonacci numbers which are products of two Jacobsthal numbers - TBILISI MATHEMATICAL JOURNAL - Vol.14 - pp.105 - ISSN : 1875-158X - DOI : 10.32513/tmj/19322008126 - JUN 2021 - English - Article - 2021 - WOS:000674130800009
7 Erduvan, F; Keskin, R; Luca, F; - Fibonacci and Lucas numbers as difference of two repdigits - RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO - ISSN : 0009-725X - DOI : 10.1007/s12215-021-00645-3 - - English - Early Access - 2021 - WOS:000679242800002
8 Erduvan, F; Keskin, R; Siar, Z; - Repdigits base b as products of two Pell numbers or Pell-Lucas numbers - BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA - Vol.27 - ISSN : 1405-213X - DOI : 10.1007/s40590-021-00377-5 - NOV 2021 - English - Article - 2021 - WOS:000693089700003
9 Erduvan, F; Keskin, R; - Lucas numbers which are concatenations of two repdigits - BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA - Vol.27 - ISSN : 1405-213X - DOI : 10.1007/s40590-021-00341-3 - FEB 24 2021 - English - Article - 2021 - WOS:000623830300002
10 Keskin, R; Erduvan, F; - REPDIGITS IN THE BASE b AS SUMS OF FOUR BALANCING NUMBERS - MATHEMATICA BOHEMICA - Vol.146 - pp.55 - ISSN : 0862-7959 - DOI : 10.21136/MB.2020.0077-19 - 2021 - English - Article - 2021 - WOS:000625406700005
11 Siar, Z; Keskin, R; - Repdigits As Sums Of Two Lucas Numbers - APPLIED MATHEMATICS E-NOTES - Vol.20 - pp.33 - 2020 - English - Article - 2020 - WOS:000552360200003
12 Luca, F; Frontczak, R; Svinin, AK; Svinina, SV; Ohtsuka, H; Seiffert, HJ; Abel, U; Kushnirevych, V; Keskin, R; Brietzke, EHM; Fleischman, DG; Plaza, A; Lai, WK; Risher, J; Smith, J; Terr, D; - ADVANCED PROBLEMS AND SOLUTIONS - FIBONACCI QUARTERLY - Vol.57 - pp.89 - ISSN : 0015-0517 - English - Letter - 2019 - WOS:000460215100012
13 Siar, Z; Erduvan, F; Keskin, R; - REPDIGITS AS PRODUCT OF TWO PELL OR PELL-LUCAS NUMBERS - ACTA MATHEMATICA UNIVERSITATIS COMENIANAE - Vol.88 - pp.247 - ISSN : 0231-6986 - English - Article - 2019 - WOS:000472963700006
14 Keskin, R; Siar, Z; - Positive integer solutions of some Diophantine equations in terms of integer sequences - AFRIKA MATEMATIKA - Vol.30 - pp.181 - ISSN : 1012-9405 - DOI : 10.1007/s13370-018-0632-y - English - Article - 2019 - WOS:000462131900011
15 Erduvan, F; Keskin, R; - Fibonacci numbers which are products of two balancing numbers - ANNALES MATHEMATICAE ET INFORMATICAE - Vol.50 - pp.57 - ISSN : 1787-5021 - DOI : 10.33039/ami.2019.06.001 - English - Article - 2019 - WOS:000503370800004
16 Keskin, R; Siar, Z; Duman, MG; - SOLUTIONS OF SOME DIOPHANTINE EQUATIONS IN TERMS OF HORADAM SEQUENCE - TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE - Vol.173 - pp.79 - ISSN : 2346-8092 - English - Article - 2019 - WOS:000501585900006
17 Irmak, N; Siar, Z; Keskin, R; - On the sum of three arbitrary Fibonacci and Lucas numbers - NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS - Vol.25 - pp.96 - ISSN : 1310-5132 - DOI : 10.7546/nntdm.2019.25.4.96-101 - English - Article - 2019 - WOS:000502371600011
18 Keskin, R; Siar, Z; - SOME NEW IDENTITIES CONCERNING THE HORADAM SEQUENCE AND ITS COMPANION SEQUENCE - COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY - Vol.34 - pp.1 - ISSN : 1225-1763 - DOI : 10.4134/CKMS.c170261 - English - Article - 2019 - WOS:000457138700001
19 Siar, Z; Keskin, R; - On the Diophantine equation L-n - L-m = 3 . 2(a) - NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS - Vol.24 - pp.112 - ISSN : 1310-5132 - DOI : 10.7546/nntdm.2018.24.4.112-119 - English - Article - 2018 - WOS:000454436500013
20 Ogut, U; Keskin, R; - GENERALIZED FIBONACCI NUMBERS OF THE FORM 11x(2) - HONAM MATHEMATICAL JOURNAL - Vol.40 - pp.139 - ISSN : 1225-293X - DOI : 10.5831/HMJ.2018.40.1.139 - English - Article - 2018 - WOS:000430615700011
21 Cerin, Z; Bitim, BD; Keskin, R; - SUM FORMULAE OF GENERALIZED FIBONACCI AND LUCAS NUMBERS - HONAM MATHEMATICAL JOURNAL - Vol.40 - pp.199 - ISSN : 1225-293X - DOI : 10.5831/HMJ.2018.40.1.199 - English - Article - 2018 - WOS:000430615700015
22 Ozdemir, HB; Keskin, R; - A Note On Some Diophantine Equations - MATEMATIKA - Vol.31 - pp.59 - ISSN : 0127-8274 - English - Article - 2015 - WOS:000218469500007
23 Keskin, R; Karaatli, O; - Some New Properties of Balancing Numbers and Square Triangular Numbers - JOURNAL OF INTEGER SEQUENCES - Vol.15 - ISSN : 1530-7638 - 2012 - English - Article - 2012 - WOS:000210043600006
1.3-ÜAK VE SAKARYA ÜNİVERSİTESİ SENATOSU TARAFINDAN BELİRLENEN ULUSLARARASI ALAN ENDEKSLERİNDE TARANAN DERGİLERDE YAYIMLANMIŞ VEYA ULAKBİM, TR-DİZİN TARAFINDAN TARANAN ULUSAL HAKEMLİ DERGİLERDE YAYIMLANMIŞ MAKALE :
1 Refik Keskin and Olcay Karaatlı - Generalized Fibonacci and Lucas Numbers of the form 5x^2 - International Journal of Number Theory(IJNT)(SCI-Expanded) Accepted for publication - Vol.11 - pp.931-944 - DOI : 10.1142/S1793042115500517 - 2015
2 Şiar, Z.; Keskin, R. - The square terms in generalized lucas sequences - Mathematika - Vol.60 - pp.85-100 - ISSN : 00255793 - DOI : 10.1112/S0025579313000193 - Article - 2014 - SCOPUS_ID:84893816859
3 Demirtürk Bitim, B.; Keskin, R. - On some diophantine equations proceedings of the international congress in honour of professor Hari M. Srivastava - Journal of Inequalities and Applications - Vol.2013 - ISSN : 10255834 - DOI : 10.1186/1029-242X-2013-162 - Article - 2013 - SCOPUS_ID:84879572445
4 Keskin, R.; Karaatli, O.; Siar, Z. - Positive integer solutions of the diophantine equations x2-5Fnxy-5(-1)ny2=±5r - Miskolc Mathematical Notes - Vol.14 - pp.959-972 - ISSN : 17872405 - Article - 2013 - SCOPUS_ID:84892467684
5 Keskin, R. - Parabolic class number of a subgroup of the normalizer of ?0(m) - Miskolc Mathematical Notes - Vol.13 - pp.365-373 - ISSN : 17872405 - Article - 2012 - SCOPUS_ID:84877322368
6 Keskin, R.; Karaatlio, O.; Siar, Z. - On the diophantine equation x2-kxy+y2+2n = 0 - Miskolc Mathematical Notes - Vol.13 - pp.375-388 - ISSN : 17872405 - Article - 2012 - SCOPUS_ID:84877347414
7 Refik Keskin, Olcay Karaatlı - Some New Properties of Balancing Numbers and Square Triangular Numbers - Journal of Integer Sequences - Vol.15 - pp.1 - Ocak - 2012 - SAU
8 Refik Keskin, Zafer Yosma - On Fibonacci and Lucas Numbers of the Form cx 2 - Journal of Integer Sequences - Vol.14 - pp.1 - Ekim - 2011
9 Keskin, R.; Yosma, Z. - On Fibonacci and Lucas numbers of the form cx2 - Journal of Integer Sequences - Vol.14 - ISSN : 15307638 - Article - 2011 - SCOPUS_ID:80355131306
10 Keskin, R.; Karaatli, O. - Some new properties of balancing numbers and square triangular numbers - Journal of Integer Sequences - Vol.15 - ISSN : 15307638 - Article - 2011 - SCOPUS_ID:84855489736
11 Keskin, R.; Demirtürk, B. - Some new Fibonacci and Lucas identities by matrix methods - International Journal of Mathematical Education in Science and Technology - Vol.41 - pp.379-387 - ISSN : 0020739X - DOI : 10.1080/00207390903236426 - Article - 2010 - SCOPUS_ID:77951264326
12 Olcay Karaatlı, Refik Keskin - ON SOME DIOPHANTINE EQUATIONS RELATED TO SQUARE TRIANGULAR AND BALANCING NUMBERS - Journal of Algebra, Number Theory: Advances and Applications - Vol.4 - pp.71 - Aralık - 2010 - SAU
13 Demirturk, B., Keskin, R. - Integer Solutions of Some Diophantine Equations via Fibonacci and Lucas Numbers - Journal of Integer Sequences - Vol.12 - pp.1 - 2009
14 Keskin, R., Demirtürk, B. - Some New Fibonacci and Lucas Identities by Matrix Methods - International Journal of Mathematical Education in Science and Technology - Vol.41 - pp.379 - Oct. - 2009
15 Keskin, R.; Demirtürk, B. - On suborbital graphs for the normalizer of T0(N) - Electronic Journal of Combinatorics - Vol.16 - ISSN : 10778926 - Article - 2009 - SCOPUS_ID:70349550035
16 Demirtürk, B.; Keskin, R. - Integer solutions of some diophantine equations via Fibonacci and Lucas numbers - Journal of Integer Sequences - Vol.12 - pp.1-14 - ISSN : 15307638 - Article - 2009 - SCOPUS_ID:75349114349
17 Keskin, R. - A note on some modular subgroups - Rocky Mountain Journal of Mathematics - Vol.35 - pp.573-585 - ISSN : 00357596 - Article - 2005 - SCOPUS_ID:19744374591
18 R. Keskin, Y. Çeliker - A Note On Stone-Cech Compactification of a Discret Semigroup - Commun. Fac. Sci. Univ. Ankara Ser. A1 - Vol.52 - pp.13 - 2003
19 Refik Keskin - Some Subgroups of the Normalizer of Gamma_0(mu) - Journal of Algebra and Its Applications - Vol.2 - pp.425 - 2003
20 Refik Keskin - Remarks on Some Fuchsian Groups - Vietnam Journal of Mathematics - Vol.4 - pp.411 - 2003
21 Keskin, R., - On Parabolic Class Numbers of Some Fuchsian Groups - Note Di Matematica - Vol.2 - pp.275 - 1999 - SAU
22 Keskin, R. - On the parabolic class numbers of some fuchsian groups - Note di Matematica - Vol.19 - pp.275-283 - ISSN : 11232536 - Article - 1999 - SCOPUS_ID:1642481777
23 Olcay Karaatlı, Refik Keskin, and Huilin Zhu, - Infinetely many positive integer solutions of the - Bulletin of Irish Mathematical Society, Accepted for publication, - 0
24 Olcay Karaatlı, Refik Keskin - Integral Points on the Elliptic Curves $%10y^{2}=5x^{3}-3x-2$ and $10y^{2}=5x^{3}+3x-8, (Submitted) - 0
7.2-ULUSLARARASI KONGRE VE SEMPOZYUMLARDA SÖZLÜ OLARAK SUNULAN VE TAM METİN OLARAK YAYIMLANAN TEBLİĞ :
1 Refik Keskin, Ümmügülsüm Öğüt, and Olcay KaraatlıOLCAY KARAATLI; REFİK KESKİN; ÜMMÜGÜLSÜM ÖĞÜT; OLCAY KARAATLI; - Generalized Fibonacci and Lucas numbers of the form wx^2 and wx^2+1 - 2014
2 Refik Keskin, Olcay Karaatlı - Integral Points on the Elliptic Curves 10y²=5x³-3x-2 and 10y²=5x³+3x-8 - 25-30 June 2012 - 0 - SAU
3 Refik Keskin, Olcay Karaatlı, Zafer Yosma - On the Diophantine Equation x²-kxy+y²+2ⁿ=0 - 29 June-2 July 2011 - 0 - SAU
4 Olcay Karaatlı, Refik Keskin - Integral Points on the Elliptic Curves y²=x³-27x-62 - 23-26 August, 2012 - 0 - SAU
7.3-ULUSLARARASI KONGRE VE SEMPOZYUMLARDA SÖZLÜ OLARAK SUNULAN VE ÖZET METİN OLARAK YAYIMLANAN TEBLİĞ :
1 Demirturk, B., Keskin, R. - On Some Diophantine Equations - August 23-26, 2012 - 2012
2 Keskin, R., Demirtürk, B. - Gamma_0(N) 'nin Normalleyeni İçin Alt Yörüngesel Graflardaki Devrelerle İlgili Bir Konjektürün İspatı - 4-7 Temmuz 2007 - 2007
7.6-ULUSAL KONGRE VE SEMPOZYUMLARDA SÖZLÜ OLARAK SUNULAN VE TAM METİN OLARAK YAYIMLANAN TEBLİĞ :
1 Refik Keskin, Olcay Karaatlı, Zafer Şiar - Positive Integer Solutions of the Diophantine Equations $\x^{2}-5F_{n}xy-5(-1)^{n}y^{2}=\pm 5^{r}" - 31 Mayıs-1 Haziran - 2012
2 Refik Keskin, Olcay Karaatlı - Kare Üçgensel Sayıların Bazı Özellikleri - 3-4 HAZİRAN 2010 - 2010 - SAU
3 Refik Keskin, Zafer Yosma, Olcay Karaatlı, - x²-kxy+y²-2ⁿ=0 Diophantine Denklemi Üzerine - 2-3 Haziran 2011 - 0 - SAU
7.7-ULUSAL KONGRE VE SEMPOZYUMLARDA SÖZLÜ OLARAK SUNULAN VE ÖZET METİN OLARAK YAYIMLANAN TEBLİĞ :
1 Keskin, R., Demirtürk, B. - Fibonacci ve Lucas Kongrüansları ve Uygulamaları - 3-4 Haziran 2010 - 2010
2 Demirturk, B., Keskin, R. - Matris Metoduyla Yeni Fibonacci ve Lucas Özdeşlikleri - 31.08-03.09.2009 - 2009
3 Keskin, R., Demirtürk, B. - Genelleştirilmiş Fibonacci ve Lucas Dizilerini Kullanarak Bazı Diophantine Denklemlerinin Çözümleri - 1-3 Eylül 2008 - 2008
4 Refik Keskin, Bahar Demirtürk - Fibonacci ve Lucas Sayılarının Farklı Bir Karakterizasyonu - 22-23 May - 2008
5 Refik Keskin, Bahar Demirtürk - Gamma_0(N) nin Normalliyenini için Alt Yörüngesel Graflardaki Devrelerle İlgili Bir Konjektürün İspatı - 2007
6 Refik Keskin - Remarks On Some Fuchsian Groups - 19-21 September - 2001
7 Refik Keskin - On Some Subgroups of PSL(2, C), - 19-20 October - 2000
8 Refik Keskin - On the Endomorfphisms of Some Semigroups - 20-22 May - 1998
9 Refik Keskin - Modüler Grup için Altyörüngesel Graflar - 2-6 September - 1996
3.11-BASILMIŞ DERS NOTU VEYA UZAKTAN EĞİTİMDE YAYIMLANMIŞ DERS NOTU YAZARLIĞI :
1 Prof Dr. Refik Keskin, Prof. Dr. Halim Özdemir, Doç. Dr. Şevket Gür, Yrd. Doç. Dr. Murat Sarduvan - Matematik II - 2013
2 Prof Dr. Refik Keskin, Prof. Dr. Halim Özdemir, Doç. Dr. Şevket Gür, Yrd. Doç. Dr. Murat Sarduvan - Matematik I - 2012
2.13 A-BAŞARIYLA TAMAMLANAN YÜKSEKÖĞRETİM KURUMLARI TARAFINDAN DESTEKLENMİŞ BİLİMSEL ARAŞTIRMA PROJESİNDE (YALNIZCA AR-GE NİTELİĞİNDEKİ PROJELER-LİSANSÜSTÜ TEZ PROJELERİ HARİÇ) YÜRÜTÜCÜ OLMAK :
1 Refik KESKİN,Olcay KARAATLI - kx2 Biçimndeki Genelleştirilmiş Fibonacci ve Lucas Sayıları - Vol. 5000 - DOI : Devam Ediyor - 2013-50-02-022 - 2013
2 Refik KESKİN,Zafer ޞİAR - Fibonacci ve Lucas sayıları ve bazı diophantine denklemleri - Vol.5000 - DOI : Durduruldu - 3 - 2011 - SAU-FBDTEZ -2011-50-02-019
3 Refik KESKİN,Zafer ŞİAR - Fibonacci ve Lucas sayıları ve bazı diophantine denklemleri\r\n - Vol. 5000 - DOI : Devam Ediyor - 2011-50-02-019 - 2011
4 Refik KESKİN,Bahar DEMİRTÜRK - Genelleştirilmiş Fibonacci ve Lucas Dizileri ve Uygulamaları - Vol. 3000 - DOI : Tamamlandı - 2008-50-02-012 - 2008
5 Refik KESKİN,Bahar DEMİRTÜRK - Genelleştirilmiş Fibonacci ve Lucas Dizileri ve Uygulamaları - Vol.3000 - DOI : Tamamlandı - 10 - 2008 - SAU-FBDTEZ -2008-50-02-012
12.1-YÖNETİMİNDE TAMAMLANAN HER DOKTORA/SANATTA YETERLİLİK TEZİ İÇİN :
1 - Some New Identities and Diophantine Equations Including Generalized Fibonacci and Lucas Numbers - Zafer Şiar - ISSN : - Sakarya Üniversitesi - Fen Bilimleri Enstitüsü - Matematik - 2013
2 - Fibonacci ve Lucas Sayıları ve Bazı Diophantine Denklemleri - ZAFER ŞİAR - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2012
3 BAHAR DEMİRTÜRK - GENELLEŞTİRİLMİŞ FİBONACCİ VE LUCAS DİZİLERİ VE BAZI UYGULAMALARI - SAKARYA ÜNİVERSİTESİ - MATEMATİK - 2010 - SAU
4 PROF. DR. REFİK KESKİN - GENELLEŞTİRİLMİŞ FİBONACCİ VE LUCAS DİZİLERİ VE BAZI UYGULAMALARI - BAHAR DEMİRTÜRK - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2010
5 - Genelleştirilmiş Fibonacci ve Lucas Dizileri ve uygulamaları - BAHAR DEMİRTÜRK - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2009
12.2-YÖNETİMİNDE TAMAMLANAN HER YÜKSEK LİSANS TEZİ İÇİN :
1 - Eliptik Eğriler ve Kongruent Sayı Problemi - ÜMMÜGÜLSÜM ÖĞÜT - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2013
2 - Fibonacci ve Lucas Serileri - Canan Özdoğan - ISSN : - Sakarya Üniversitesi - Fen Bilimleri Enstitüsü - Matematik - 2012
3 - Reel Kuadratik Cisimlerde Birimler - Aygen K - ISSN : - Sakarya Üniversitesi - Fen Bilimleri Enstitüsü - Matematik - 2012
4 - Pell Denklemleri - Merve Güney - ISSN : - Sakarya Üniversitesi - Fen Bilimleri Enstitüsü - Matematik - 2012
5 - Fibonacci ve Lucas Serileri - CANAN ÖZDOĞAN - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2011
6 - Pell Denklemleri - MERVE GÜNEY - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2011
7 PROF. DR. REFİK KESKİN - FİBONACCİ TOPLAMLARI VE FİBONACCİ POLİNOMLARI - SEDAT KARADAYI - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2010
8 PROF. DR. REFİK KESKİN - ÜÇGENSEL SAYILAR - OLCAY KARAATLI - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2010
9 SEDAT KARADAYI - FİBONACCİ TOPLAMLARI VE FİBONACCİ POLİNOMLARI - SAKARYA ÜNİVERSİTESİ - MATEMATİK - 2010 - SAU
10 OLCAY KARAATLI - ÜÇGENSEL SAYILAR - SAKARYA ÜNİVERSİTESİ - MATEMATİK - 2010 - SAU
11 - Fibonacci toplamları ve fibonacci polinomları - SEDAT KARADAYI - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2009
12 - Üçgensel Sayılar - OLCAY KARAATLI - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2009
13 DOÇ. DR. REFİK KESKİN - FİBONACCİ VE LUCAS SAYILARI - ZAFER YOSMA - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2008
14 DOÇ. DR. REFİK KESKİN - MATRİS KODLAR İLE McELIECE ŞİFRELEME SİSTEMİ - VEDAT ŞİAP - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2008
15 ZAFER YOSMA - FİBONACCİ VE LUCAS SAYILARI - SAKARYA ÜNİVERSİTESİ - MATEMATİK - 2008 - SAU
16 VEDAT ŞİAP - MATRİS KODLAR İLE McELIECE ŞİFRELEME SİSTEMİ - SAKARYA ÜNİVERSİTESİ - MATEMATİK - 2008 - SAU
17 SÜNDÜZ KELEŞ - DIOPHANT DENKLEMLERİ - SAKARYA ÜNİVERSİTESİ - MATEMATİK - 2007 - SAU
18 - Matris Kodlar ile McEliece Şifreleme Sistemi (Tez Adı Değişikliği) - VEDAT ŞİAP - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2007
19 - Fibonaci ve Lucas Sayıları - ZAFER YOSMA - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2007
20 DOÇ. DR. REFİK KESKİN - DIOPHANT DENKLEMLERİ - SÜNDÜZ KELEŞ - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2007
21 - Diophantine Denklemleri - SÜNDÜZ KELEŞ - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2006
22 DOÇ. DR. REFİK KESKİN - ESAS İDEAL BÖLGELERİ VE EUCLID BÖLGELERİ - REYHAN KARADELİOĞLU - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2006
23 DOÇ. DR. REFİK KESKİN - SÜREKLİ KESİRLER VE PELL DENKLEMLERİ - MURAT PEKASİL - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2006
24 REYHAN KARADELİOĞLU - ESAS İDEAL BÖLGELERİ VE EUCLID BÖLGELERİ - SAKARYA ÜNİVERSİTESİ - MATEMATİK - 2006 - SAU
25 MURAT PEKASİL - SÜREKLİ KESİRLER VE PELL DENKLEMLERİ - SAKARYA ÜNİVERSİTESİ - MATEMATİK - 2006 - SAU
26 YETKİN ÇELİKER - BİR SDİSKRET YARIGRUBUNUN STONE-CECH KOMPAKLAŞTIRILMASI - SAKARYA ÜNİVERSİTESİ - MATEMATİK - 2003 - SAU
27 DOÇ. DR. REFİK KESKİN - BİR SDİSKRET YARIGRUBUNUN STONE-CECH KOMPAKLAŞTIRILMASI - YETKİN ÇELİKER - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2003
28 YRD. DOÇ. DR.REFİK KESKİN - SÜREKLİ FONKSİYONLARIN YARIGRUPLARININ HOMOMORFİZMLERİ - SELÇUK CEBİROĞLU - ISSN : - SAKARYA ÜNİVERSİTESİ - FEN BİLİMLERİ ENSTİTÜSÜ - MATEMATİK - 2002
29 SELÇUK CEBİROĞLU - SÜREKLİ FONKSİYONLARIN YARIGRUPLARININ HOMOMORFİZMLERİ - SAKARYA ÜNİVERSİTESİ - MATEMATİK - 2002 - SAU
13.1-LİSANSÜSTÜ DÜZEYDE DERS VERMEK. (SON 3 YILDA HER DERS İÇİN, HER YIL İÇİN EN FAZLA 5 DERS) :
1 CEBİRSEL SAYILAR TEORİSİ II - 2013-2014 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2013
2 FUCHSİAN GRUPLARINA GİRİŞ - 2013-2014 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2013
3 SAYILAR TEORİSİNDEN SEÇME KONULAR - 2012-2013 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2012
4 UZMANLIK ALANI-Y.LİSANS - 2012-2013 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2012
5 UZMANLIK ALAN DERSİ-DOKTORA - 2012-2013 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2012
6 CEBİRSEL SAYILAR TEORİSİ I - 2012-2013 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2012
7 UZMANLIK ALAN DERSİ-DOKTORA - 2011-2012 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2011
8 UZMANLIK ALAN DERSİ-DOKTORA - 2011-2012 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2011
9 CEBİRSEL SAYILAR TEORİSİ I - 2011-2012 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2011
10 UZMANLIK ALANI-Y.LİSANS - 2011-2012 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2011
11 UZMANLIK ALANI-Y.LİSANS - 2011-2012 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2011
12 UZMANLIK ALANI-Y.LİSANS - 2010-2011 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2010
13 UZMANLIK ALANI-Y.LİSANS - 2010-2011 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2010
14 BANACH UZAYLARINA GİRİŞ - 2010-2011 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2010
15 FUCHSİAN GRUPLARINA GİRİŞ - 2010-2011 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2010
16 SAYILAR TEORİSİNDEN SEÇME KONULAR - 2010-2011 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2010
17 UZMANLIK ALAN DERSİ-DOKTORA - 2010-2011 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2010
18 UZMANLIK ALAN DERSİ-DOKTORA - 2010-2011 Eğitim Öğretim Yılı Yüksek Lisans Dersleri - pp.3 - ISSN : 1 - 2010
13.2-LİSANS DÜZEYİNDE DERS VERMEK. (SON 3 YILDA HER DERS İÇİN, HER YIL İÇİN EN FAZLA 5 DERS) :
1 CEBİR VE GEOMETRİ - 2013-2014 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.2 - ISSN : 2 - 2013
2 CEBİR I - 2013-2014 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 2 - 2013
3 SOYUT MATEMATİK - 2013-2014 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 1 - 2013
4 SOYUT MATEMATİK - 2013-2014 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 2 - 2013
5 LİNEER CEBİR - 2013-2014 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.2 - ISSN : 1 - 2013
6 CEBİR VE GEOMETRİ - 2013-2014 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.2 - ISSN : 1 - 2013
7 FIBONACCİ VE LUCAS SAYILARI - 2013-2014 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.2 - ISSN : 1 - 2013
8 SAYILAR TEORİSİ - 2013-2014 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 2 - 2013
9 SAYILAR TEORİSİ - 2013-2014 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 1 - 2013
10 GENELLEŞTİRİLMİŞ FİBONACCİ VE LUCAS SAYILARI - 2013-2014 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.2 - ISSN : 1 - 2013
11 GENELLEŞTİRİLMİŞ FİBONACCİ VE LUCAS SAYILARI - 2013-2014 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.2 - ISSN : 2 - 2013
12 CEBİR II - 2013-2014 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 2 - 2013
13 LİNEER CEBİR - 2013-2014 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.2 - ISSN : 1 - 2013
14 GENELLEŞTİRİLMİŞ FİBONACCİ VE LUCAS SAYILARI - 2012-2013 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.2 - ISSN : 2 - 2012
15 MATEMATİK I - 2012-2013 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 3 - 2012
16 SAYILAR TEORİSİ - 2012-2013 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 1 - 2012
17 CEBİR II - 2012-2013 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 1 - 2012
18 GENELLEŞTİRİLMİŞ FİBONACCİ VE LUCAS SAYILARI - 2012-2013 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.2 - ISSN : 1 - 2012
19 SAYILAR TEORİSİ - 2012-2013 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 2 - 2012
20 MATEMATİK II - 2012-2013 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 3 - 2012
21 CEBİR II - 2012-2013 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 2 - 2012
22 SOYUT MATEMATİK - 2012-2013 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 2 - 2012
23 CEBİR I - 2012-2013 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 2 - 2012
24 CEBİR VE GEOMETRİ - 2012-2013 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.2 - ISSN : 2 - 2012
25 SOYUT MATEMATİK - 2012-2013 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 1 - 2012
26 CEBİR I - 2012-2013 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 1 - 2012
27 CEBİR I - 2011-2012 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 1 - 2011
28 SOYUT MATEMATİK - 2011-2012 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 1 - 2011
29 FONKSİYONEL ANALİZ I - 2011-2012 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 1 - 2011
30 FONKSİYONEL ANALİZ II - 2011-2012 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 1 - 2011
31 CEBİR II - 2011-2012 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 1 - 2011
32 SAYILAR TEORİSİ - 2011-2012 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 1 - 2011
33 SOYUT MATEMATİK - 2011-2012 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 2 - 2011
34 CEBİR I - 2011-2012 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 2 - 2011
35 CEBİR II - 2011-2012 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 2 - 2011
36 FONKSİYONEL ANALİZ I - 2011-2012 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 2 - 2011
37 FONKSİYONEL ANALİZ II - 2011-2012 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 2 - 2011
38 MATEMATİK II - 2011-2012 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 3 - 2011
39 SAYILAR TEORİSİ - 2011-2012 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 2 - 2011
40 SAYILAR TEORİSİ - 2010-2011 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 2 - 2010
41 FONKSİYONEL ANALİZ II - 2010-2011 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 2 - 2010
42 FONKSİYONEL ANALİZ I - 2010-2011 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 2 - 2010
43 CEBİR II - 2010-2011 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 2 - 2010
44 CEBİR I - 2010-2011 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 2 - 2010
45 SOYUT MATEMATİK VE MANTIK - 2010-2011 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 2 - 2010
46 SAYILAR TEORİSİ - 2010-2011 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 1 - 2010
47 FONKSİYONEL ANALİZ I - 2010-2011 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 1 - 2010
48 FONKSİYONEL ANALİZ II - 2010-2011 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 1 - 2010
49 NUMBER THEORY - 2010-2011 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.4 - ISSN : 1 - 2010
50 SOYUT MATEMATİK VE MANTIK - 2010-2011 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 1 - 2010
51 CEBİR I - 2010-2011 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 1 - 2010
52 CEBİR II - 2010-2011 Eğitim Öğretim Yılı Ön Lisans/Lisans Dersleri - pp.3 - ISSN : 1 - 2010
MAKALELER
ON Perfect Powers in k- generalized Pell-Lucas Sequence
Fibonacci And Lucas Numbers Which Are Product Of Two Jacobsal-Lucas Numbers
Padovan Numbers as Sum of Two Repdigits
Repdigits as difference of two Pell or Pell-Lucas numbers
UN PERFECT POWER IN k-GENERALIZED PELL SEQUENCE
On the Exponential Diophantine Equation (a^n-2)(b^n-2)=x^2
k-Generalized Pell Numbers Which are Concatenation of Two Repdigits
Fibonacci and Lucas Numbers as difference of two repdigits
k-Generalized Pell numbers which are repdigits in base b
Perfect square in the sum and difference of balancing-like numbers
Repdigits base b as Difference of Two Fibonacci Numbers
Fibonacci numbers whic are concatenation of three repdigits
On perfect powers which are sum or difference of two Lucas numbers
Repdigits base b as products of two Lucas numbers
Repdigits base b as products of two Fibonacci numbers
Repdigits in the base $b$ as sums of four balancing numbers
Lucas numbers which are concatenations of three repdigits
Lucas numbers which are concatenations of two repdigits
Fibonacci or Lucas Numbers Which are Products of Two Repdigits in Base b
Repdigits base b as products of two Pell numbers or Pell–Lucas numbers
Fibonacci numbers which are products of two Jacobsthal numbers
On the Diophantine equation F_{n}-F_{m}=2{a}
Repdigits base b as products of two Lucas numbers
Repdigits As Sums Of Two Lucas Numbers
Repdigits in the base b as sums of four balancing numbers
Repdigits as products of two Fibonacci or Lucas numbers
Solutions of Some Diophantine Equations in Terms of Generalized Fibonacci and Lucas Numbers
On Solutions Of The Diophantine Equation Fn − Fm = 3a
Generalized Lucas Numbers of the form 11x21
A Note on the Exponential Diophantine Equation (an-1)(bn-1)=x2
Nonnegative ınteger Solutions of the Equation F_n-F_m=5a
Fibonacci and Lucas numbers as products of two repdigits
Some new identities concerning the Horadam sequence and its companion sequence
Positive integer solutions of some Diophantine equations in terms of integer sequences
REPDIGITS AS PRODUCT OF TWO PELL OR PELL-LUCAS NUMBERS
On the sum of three arbitrary Fibonacci and Lucas numbers
Fibonacci numbers which are products of two balancing numbers
SOLUTIONS OF SOME DIOPHANTINE EQUATIONS IN TERMS OF HORADAM SEQUENCE
Positive Integer Solutions of Some Pell Equations
Sum Formulae of Generalized Fibonacci and Lucas numbers
Pythagorean triples containing generalized Lucas numbers
Generalized Lucas numbers of the form wx2 and wV_mx2
On the equations Vn= 11Vmx2 and Vn = 13Vmx2
SUM FORMULAE OF GENERALIZED FIBONACCIAND LUCAS NUMBERS
On The Lucas Sequence Equations Vn = 7 andVn = 7Vm
GENERALIZED FIBONACCI NUMBERS OF THEFORM 11x2 1
On the Diophantine equation Ln − Lm = 3 · 2a
On the determination of solutions of simultaneous Pellequations x2 − (a2 − 1) y2 = y2 − pz2 = 1
On the equation Vn = wx2 ∓ 1
A NOTE ON SOME DIOPHANTINE EQUATIONS
Positive integer solutions of some second-order Diophantine equations
Generalized Fibonacci numbers of the form wx 2 1 w x 2 1
The Square Terms in Generalized Lucas Sequence with Parameters P And Q
On square classes in generalized Fibonacci sequences
A Note On Some Diophantine Equations
On the equations U n 5x 2 and V n 5x 2
Generalized Lucas numbers of the form 5kx2 and 7kx2
Generalized Fibonacci and Lucas numbers of the form 5x2
GENERALIZED FIBONACCI AND LUCAS NUMBERS OF THE FORM wx2 AND wx2 1
THE SQUARE TERMS IN GENERALIZED LUCAS SEQUENCES
Infinitely many positive integer solutions of the quadratic Diophantine Equationx2 8Bnxy 2y2 2r
Positive integer solutions of the diophantine equation x2 Lnxy 1 ny2 5r
Three identities concerning Fibonacci and Lucas numbers
Solutions of some Diophantine equations using generalized Fibonacci and Lucas sequences
Some new identities concerning generalized Fibonacci and Lucas number
On the Diophantine equation x 2 kxy y 2 2 n 0
Positive integer solutions of the Diophantine equations x2 5Fnxy 5 1 ny2 5r
On the Lucas sequence equations Vn kVm and Un kUm
Integral points on the elliptic curve y2 x3 27x 62
On some Diophantine equations
On the Diophantine equation x 2 kxy y 2 2 n 0
Parabolic class number of a subgroup of the normalizer of 0 m
Some new properties of balancing numbers and square triangular numbers
On Fibonacci and Lucas numbers of the form cx2
Fibonacci and Lucas congruences and their applications
Solutions of some quadratic Diophantine equations
On Some Diophantine Equations Related to Square Triangular and Balancing Numbers
On suborbital graphs for the normalizer of 0 N
Integer solutions of Some Diophantine Equations via fibonacci and Lucas Numbers
Some New Fibonacci and Lucas Identity by matrix methods
Suborbital graphs for the normalizer of 0 m
Proof of a conjecture related to the parabolic class numbers of some Fuchsian groups
A Note on Some Modular Subgroups
A Note on Some Fuchsian Groups
On suborbital graphs for some Hecke groups
On the parabolic clas numbers of some Fuchsian groups
BİLDİRİLER
Some New Identities concerning the Horadam sequence and its Companion Sequence
ARAŞTIRMA PROJELERİ
kx 2 Biçimindeki Genelleştirilmiş Fibonacci ve Lucas Sayıları
Fibonacci ve Lucas Sayıları ve Bazı Diophantine Denklemleri
UZMANLIK ALANLARI
Cebir ve Sayılar Teorisi ,Matematiksel Analiz