Mutlu, Elif Kızıldere; Le, Maohua; Soydan, Gökhan A modular approach to the generalized Ramanujan-Nagell equation. (English) Zbl 1502.11039 Indag. Math., New Ser. 33, No. 5, 992-1000 (2022). Reviewer: Arman Shamsi Zargar (Ardabil) MSC: 11D61 14H52 PDFBibTeX XMLCite \textit{E. K. Mutlu} et al., Indag. Math., New Ser. 33, No. 5, 992--1000 (2022; Zbl 1502.11039) Full Text: DOI arXiv
Çelik, Gamze Savaş; Sadek, Mohammad; Soydan, Gökhan Rational points in geometric progression on the unit circle. (English) Zbl 1474.11114 Publ. Math. Debr. 98, No. 3-4, 513-520 (2021). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11G05 14G05 PDFBibTeX XMLCite \textit{G. S. Çelik} et al., Publ. Math. Debr. 98, No. 3--4, 513--520 (2021; Zbl 1474.11114) Full Text: DOI arXiv
Çelik, Gamze Savaş; Sadek, Mohammad; Soydan, Gökhan Rational sequences on different models of elliptic curves. (English) Zbl 1455.11049 Glas. Mat., III. Ser. 54, No. 1, 53-64 (2019). Reviewer: Maciej Ulas (Kraków) MSC: 11D25 11G05 14G05 14H52 PDFBibTeX XMLCite \textit{G. S. Çelik} et al., Glas. Mat., III. Ser. 54, No. 1, 53--64 (2019; Zbl 1455.11049) Full Text: DOI arXiv Link
Savaş Çelık, Gamze; Soydan, Gökhan Elliptic curves containing sequences of consecutive cubes. (English) Zbl 1405.14081 Rocky Mt. J. Math. 48, No. 7, 2163-2174 (2018). Reviewer: Andrea Bandini (Parma) MSC: 14H52 11B83 11D25 11G05 14G05 PDFBibTeX XMLCite \textit{G. Savaş Çelık} and \textit{G. Soydan}, Rocky Mt. J. Math. 48, No. 7, 2163--2174 (2018; Zbl 1405.14081) Full Text: DOI arXiv Euclid
Ikikardes, Nazli Yildiz; Demirci, Musa; Soydan, Gökhan; Cangül, Ismail Naci The group structure of Bachet elliptic curves over finite fields \(\mathbb F_p\). (English) Zbl 1199.11095 Miskolc Math. Notes 10, No. 2, 129-136 (2009). MSC: 11G20 14H25 14G15 PDFBibTeX XMLCite \textit{N. Y. Ikikardes} et al., Miskolc Math. Notes 10, No. 2, 129--136 (2009; Zbl 1199.11095) Full Text: arXiv
İkikardes, Nazli Yildiz; Demirci, Musa; Soydan, Gökhan; Cangül, İsmail Naci The group structure of Frey elliptic curves over finite fields. (English) Zbl 1146.14020 JP J. Algebra Number Theory Appl. 10, No. 2, 255-262 (2008). MSC: 11G20 14H25 14G15 14H52 PDFBibTeX XMLCite \textit{N. Y. İkikardes} et al., JP J. Algebra Number Theory Appl. 10, No. 2, 255--262 (2008; Zbl 1146.14020) Full Text: Link
Inam, Ilker; Soydan, Gökhan; Demirci, Musa; Bizim, Osman; Cangül, İsmail Naci Corrigendum on “The number of points on elliptic curves \(E~:y^2=x^3+cx\) over \(\mathbb{F}_{p}\) mod 8”. (English) Zbl 1168.14301 Commun. Korean Math. Soc. 22, No. 2, 207-208 (2007). MSC: 11G20 14G05 14G15 PDFBibTeX XMLCite \textit{I. Inam} et al., Commun. Korean Math. Soc. 22, No. 2, 207--208 (2007; Zbl 1168.14301) Full Text: DOI
Soydan, Gökhan; Demirci, Musa; Ikikardeş, Nazlı Yıldız; Cangül, Ismail Naci Counting the number of Pythagorean triples in finite fields. (English) Zbl 1138.11330 Adv. Theor. Appl. Math. 2, No. 1, 77-82 (2007). MSC: 11G20 14G15 11D25 PDFBibTeX XMLCite \textit{G. Soydan} et al., Adv. Theor. Appl. Math. 2, No. 1, 77--82 (2007; Zbl 1138.11330)
Demirci, Musa; Soydan, Gökhan; Cangül, Ismail Naci Rational points on elliptic curves \(y^2=x^3+a^3\) in \(\mathbb F_p\) where \(p\equiv 1\pmod 6\) is prime. (English) Zbl 1145.11046 Rocky Mt. J. Math. 37, No. 5, 1483-1491 (2007). Reviewer: David Freeman (Stanford) MSC: 11G20 14H25 14K15 14G15 PDFBibTeX XMLCite \textit{M. Demirci} et al., Rocky Mt. J. Math. 37, No. 5, 1483--1491 (2007; Zbl 1145.11046) Full Text: DOI arXiv Euclid