Edit Profile (opens in new tab) Soydan, Gokhan Compute Distance To: Compute Author ID: soydan.gokhan Published as: Soydan, Gökhan; Soydan, G.; Soydan, Gokhan more...less Homepage: http://gsoydan.home.uludag.edu.tr/index.php/en/ External Links: MGP Documents Indexed: 49 Publications since 2006 Reviewing Activity: 17 Reviews Co-Authors: 37 Co-Authors with 45 Joint Publications 869 Co-Co-Authors all top 5 Co-Authors 4 single-authored 13 Cangul, Ismail Naci 11 Demirci, Musa 11 Le, Maohua 5 Kizildere, Elif 4 İkikardes, Nazli Yildiz 4 Zhu, Huilin 3 Doğru, Yusuf 3 Luca, Florian 3 Savaş Çelık, Gamze 2 Arslandoğan, N. Umut 2 Bérczes, Attila 2 Dąbrowski, Andrzej Bogdan 2 Inam, Ilker 2 Németh, László 2 Pink, István 2 Sadek, Mohammad 2 Szalay, László 2 Tzanakis, Nikos 2 Yuan, Pingzhi 1 Abu Muriefah, Fadwa S. 1 Bai, Hairong 1 Bartoli, Daniele 1 Bizim, Osman 1 Chałupka, Karolina 1 Dujella, Andrej 1 Günhan, Nursena 1 Liptai, Kálmán 1 Miyazaki, Takafumi 1 Mutlu, Elif Kızıldere 1 Omur, Nese 1 Pintér, Ákos 1 Qin, Wei 1 Savaş, Gamze 1 Simsek, Yilmaz 1 Togbé, Alain 1 Ulas, Maciej 1 Ulutas, Yucel Turker all top 5 Serials 5 Journal of Number Theory 4 Miskolc Mathematical Notes 3 Rocky Mountain Journal of Mathematics 3 Publicationes Mathematicae Debrecen 3 Advanced Studies in Contemporary Mathematics (Kyungshang) 2 Indian Journal of Pure & Applied Mathematics 2 Periodica Mathematica Hungarica 2 Glasnik Matematički. Serija III 1 Archivum Mathematicum 1 Colloquium Mathematicum 1 The Fibonacci Quarterly 1 Functiones et Approximatio. Commentarii Mathematici 1 Mathematica Slovaca 1 Proceedings of the Japan Academy. Series A 1 Studia Scientiarum Mathematicarum Hungarica 1 Indagationes Mathematicae. New Series 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 1 Turkish Journal of Mathematics 1 Filomat 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Mathematical Communications 1 Honam Mathematical Journal 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Communications of the Korean Mathematical Society 1 Mathematical Reports 1 JP Journal of Algebra, Number Theory and Applications 1 Hacettepe Journal of Mathematics and Statistics 1 Advances in Theoretical and Applied Mathematics 1 Surveys in Mathematics and its Applications 1 Creative Mathematics and Informatics 1 Bulletin of the Hellenic Mathematical Society Fields 47 Number theory (11-XX) 9 Algebraic geometry (14-XX) 2 Geometry (51-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 101 times in 54 Documents Cited by ▼ Year ▼ A brief survey on the generalized Lebesgue-Ramanujan-Nagell equation. Zbl 1482.11054Le, Maohua; Soydan, Gökhan 10 2020 On the Diophantine equation \((x+1)^k+(x+2)^k+\ldots +(lx)^k=y^n\). Zbl 1413.11074Soydan, Gökhan 10 2017 On the Diophantine equation \((x+1)^{k}+(x+2)^{k}+\ldots+(2x)^{k}=y^{n}\). Zbl 1433.11034Bérczes, Attila; Pink, István; Savaş, Gamze; Soydan, Gökhan 8 2018 On the Diophantine equation \(x^2+5^a\cdot 11^b=y^n\). Zbl 1237.11019Demirci, Musa; Cangül, İsmail Naci; Soydan, Gökhan; Tzanakis, Nikos 8 2010 On the Diophantine equation \(x^2+2^a\cdot 3^b \cdot 11^c = y^n\). Zbl 1349.11069Cangül, İsmail Naci; Demirci, Musa; İnam, İlker; Luca, Florian; Soydan, Gökhan 7 2013 On the Diophantine equation \(x^2 + 2^a \cdot 11^b = y^n\). Zbl 1219.11056Cangül, Ismail Naci; Demirci, Musa; Luca, Florian; Pintér, Ákos; Soydan, Gökhan 7 2010 On the Diophantine equation \(x^2 + 2^a \cdot 19^b = y^n\). Zbl 1291.11069Soydan, Gökhan; Ulas, Maciej; Zhu, Huilin 6 2012 On the Diophantine equation \(\sum_{j=1}^kjF_j^p=F_n^q\). Zbl 1463.11047Soydan, Gökhan; Németh, László; Szalay, László 5 2018 On a class of Lebesgue-Ljunggren-Nagell type equations. Zbl 1461.11051Dąbrowski, Andrzej; Günhan, Nursena; Soydan, Gökhan 4 2020 On the Diophantine equation \(((c+1)m^{2}+1)^{x}+(cm^{2}-1)^{y}=(am)^z\). Zbl 1424.11084Kizildere, Elif; Miyazaki, Takafumi; Soydan, Gökhan 4 2018 On the Diophantine equation \(2^m + nx^2 = y^n\). Zbl 1276.11049Luca, Florian; Soydan, Gökhan 4 2012 On the exponential Diophantine equation \(x^2 + 2^a p^b = y^n\). Zbl 1349.11078Zhu, H.; Le, M.; Soydan, G.; Togbé, A. 4 2015 An application of Baker’s method to the Jeśmanowicz’ conjecture on primitive Pythagorean triples. Zbl 1449.11066Le, Maohua; Soydan, Gökhan 4 2020 The Diophantine equation \((x+1)^k+(x+2)^k+\ldots +(\ell x)^k=y^n\) revisited. Zbl 1449.11063Bartoli, Daniele; Soydan, Gökhan 3 2020 On the Diophantine equation \((5pn^2 - 1)^x + (p(p - 5)n^2 + 1)^y=(pn)^z\). Zbl 1478.11047Kizildere, Elif; Soydan, Gokhan 2 2020 A note on the ternary purely exponential Diophantine equation \(A^x+B^y=C^z\) with \(A+B=C^2\). Zbl 1463.11106Kizildere, Elif; Le, Maohua; Soydan, Gökhan 2 2020 On triangles with coordinates of vertices from the terms of the sequences \(\{U_{kn}\}\) and \(\{V_{kn}\}\). Zbl 1459.11043Ömür, Neşe; Soydan, Gökhan; Ulutaş, Yücel Türker; Doǧru, Yusuf 2 2020 Complete solution of the Diophantine equation \(x^2+5^a\cdot 11^b = y^n\). Zbl 1425.11059Soydan, G.; Tzanakis, N. 2 2016 A note on the Diophantine equations \(x^2 \pm 5^\alpha \cdot p^n = y^n\). Zbl 1448.11072Soydan, Gökhan 2 2018 On the Diophantine equation \(x^2 + 7^\alpha\cdot 11^\beta= y^n\). Zbl 1260.11021Soydan, Gökhan 2 2012 Note on “On the Diophantine equation \(nx^2+2^{2m}=y^n\)”. Zbl 1316.11023Soydan, Gökhan; Cangül, İsmail Naci 1 2014 The Diophantine equation \(x^2+11^m=y^n\). Zbl 1197.11041Soydan, Gökhan; Demirci, Musa; Cangül, İsmail Naci 1 2009 Elliptic curves containing sequences of consecutive cubes. Zbl 1405.14081Savaş Çelık, Gamze; Soydan, Gökhan 1 2018 A \(p\)-adic look at the Diophantine equation \(x^2+11^{2k} = y^n\). Zbl 1229.11054Cangül, Ismail Naci; Soydan, Gökhan; Simsek, Yilmaz 1 2009 On elliptic curves induced by rational Diophantine quadruples. Zbl 1492.11103Dujella, Andrej; Soydan, Gökhan 1 2022 On elliptic curves induced by rational Diophantine quadruples. Zbl 1492.11103Dujella, Andrej; Soydan, Gökhan 1 2022 A brief survey on the generalized Lebesgue-Ramanujan-Nagell equation. Zbl 1482.11054Le, Maohua; Soydan, Gökhan 10 2020 On a class of Lebesgue-Ljunggren-Nagell type equations. Zbl 1461.11051Dąbrowski, Andrzej; Günhan, Nursena; Soydan, Gökhan 4 2020 An application of Baker’s method to the Jeśmanowicz’ conjecture on primitive Pythagorean triples. Zbl 1449.11066Le, Maohua; Soydan, Gökhan 4 2020 The Diophantine equation \((x+1)^k+(x+2)^k+\ldots +(\ell x)^k=y^n\) revisited. Zbl 1449.11063Bartoli, Daniele; Soydan, Gökhan 3 2020 On the Diophantine equation \((5pn^2 - 1)^x + (p(p - 5)n^2 + 1)^y=(pn)^z\). Zbl 1478.11047Kizildere, Elif; Soydan, Gokhan 2 2020 A note on the ternary purely exponential Diophantine equation \(A^x+B^y=C^z\) with \(A+B=C^2\). Zbl 1463.11106Kizildere, Elif; Le, Maohua; Soydan, Gökhan 2 2020 On triangles with coordinates of vertices from the terms of the sequences \(\{U_{kn}\}\) and \(\{V_{kn}\}\). Zbl 1459.11043Ömür, Neşe; Soydan, Gökhan; Ulutaş, Yücel Türker; Doǧru, Yusuf 2 2020 On the Diophantine equation \((x+1)^{k}+(x+2)^{k}+\ldots+(2x)^{k}=y^{n}\). Zbl 1433.11034Bérczes, Attila; Pink, István; Savaş, Gamze; Soydan, Gökhan 8 2018 On the Diophantine equation \(\sum_{j=1}^kjF_j^p=F_n^q\). Zbl 1463.11047Soydan, Gökhan; Németh, László; Szalay, László 5 2018 On the Diophantine equation \(((c+1)m^{2}+1)^{x}+(cm^{2}-1)^{y}=(am)^z\). Zbl 1424.11084Kizildere, Elif; Miyazaki, Takafumi; Soydan, Gökhan 4 2018 A note on the Diophantine equations \(x^2 \pm 5^\alpha \cdot p^n = y^n\). Zbl 1448.11072Soydan, Gökhan 2 2018 Elliptic curves containing sequences of consecutive cubes. Zbl 1405.14081Savaş Çelık, Gamze; Soydan, Gökhan 1 2018 On the Diophantine equation \((x+1)^k+(x+2)^k+\ldots +(lx)^k=y^n\). Zbl 1413.11074Soydan, Gökhan 10 2017 Complete solution of the Diophantine equation \(x^2+5^a\cdot 11^b = y^n\). Zbl 1425.11059Soydan, G.; Tzanakis, N. 2 2016 On the exponential Diophantine equation \(x^2 + 2^a p^b = y^n\). Zbl 1349.11078Zhu, H.; Le, M.; Soydan, G.; Togbé, A. 4 2015 Note on “On the Diophantine equation \(nx^2+2^{2m}=y^n\)”. Zbl 1316.11023Soydan, Gökhan; Cangül, İsmail Naci 1 2014 On the Diophantine equation \(x^2+2^a\cdot 3^b \cdot 11^c = y^n\). Zbl 1349.11069Cangül, İsmail Naci; Demirci, Musa; İnam, İlker; Luca, Florian; Soydan, Gökhan 7 2013 On the Diophantine equation \(x^2 + 2^a \cdot 19^b = y^n\). Zbl 1291.11069Soydan, Gökhan; Ulas, Maciej; Zhu, Huilin 6 2012 On the Diophantine equation \(2^m + nx^2 = y^n\). Zbl 1276.11049Luca, Florian; Soydan, Gökhan 4 2012 On the Diophantine equation \(x^2 + 7^\alpha\cdot 11^\beta= y^n\). Zbl 1260.11021Soydan, Gökhan 2 2012 On the Diophantine equation \(x^2+5^a\cdot 11^b=y^n\). Zbl 1237.11019Demirci, Musa; Cangül, İsmail Naci; Soydan, Gökhan; Tzanakis, Nikos 8 2010 On the Diophantine equation \(x^2 + 2^a \cdot 11^b = y^n\). Zbl 1219.11056Cangül, Ismail Naci; Demirci, Musa; Luca, Florian; Pintér, Ákos; Soydan, Gökhan 7 2010 The Diophantine equation \(x^2+11^m=y^n\). Zbl 1197.11041Soydan, Gökhan; Demirci, Musa; Cangül, İsmail Naci 1 2009 A \(p\)-adic look at the Diophantine equation \(x^2+11^{2k} = y^n\). Zbl 1229.11054Cangül, Ismail Naci; Soydan, Gökhan; Simsek, Yilmaz 1 2009 all cited Publications top 5 cited Publications all top 5 Cited by 63 Authors 10 Soydan, Gokhan 6 Le, Maohua 6 Togbé, Alain 4 Patel, Vandita 3 Fu, Ruiqin 3 Koutsianas, Angelos 3 Luca, Florian 3 Tchammou, Euloge B. 3 Yang, Hai 2 Alan, Murat 2 Argáez-García, Alejandro 2 Chakraborty, Kalyan 2 Fujita, Yasutsugu Fujita 2 Godinho, Hemar 2 Goedhart, Eva G. 2 Grundman, Helen G. 2 Hoque, Azizul 2 Marques, Diego 2 Nguyen Xuan Tho 2 Özkan, Engin 2 Pink, István 2 Sharma, Richa 2 Szalay, László 2 Tzanakis, Nikos 2 Zhu, Huilin 1 Akhter, Afroza 1 Altassan, Alaa 1 Bennett, Michael A. 1 Bérczes, Attila 1 Çelik, Songül 1 Chałupka, Karolina 1 Dąbrowski, Andrzej Bogdan 1 Das, Pranabesh 1 Demirci, Musa 1 Dey, Pallab Kanti 1 Durukan, İnan 1 Fei, Shuanglin 1 Ganesh, Ashokan Hari 1 Ganie, Abdul Hamid 1 Ghadermarzi, Amir 1 Gueth, Krisztián 1 Guo, Xiaoyan 1 Kizildere, Elif 1 Kundu, Debanjana 1 Lei, Deli 1 Luo, Jiagui 1 Mutlu, Elif Kızıldere 1 Németh, László 1 Neumann, Victor G. L. 1 Pan, Xiaowei 1 Prabhakaran, Kumaresan 1 Rábai, Zsolt 1 Sadek, Mohammad 1 Salami, Sajad 1 Savaş, Gamze 1 Shamsi Zargar, Arman 1 Siksek, Samir 1 Taki Eldin, Ramy Farouk 1 Terai, Nobuhiro 1 Ulas, Maciej 1 Uysal, Mine 1 Yesin, Tuğba 1 Zengin, Uǧur all top 5 Cited in 31 Serials 7 Journal of Number Theory 6 Periodica Mathematica Hungarica 3 Indian Journal of Pure & Applied Mathematics 3 Rocky Mountain Journal of Mathematics 3 Mathematica Slovaca 2 Archivum Mathematicum 2 Results in Mathematics 2 Mediterranean Journal of Mathematics 2 International Journal of Number Theory 2 Communications in Mathematics 1 Bulletin of the Australian Mathematical Society 1 Chaos, Solitons and Fractals 1 Functiones et Approximatio. Commentarii Mathematici 1 Proceedings of the Japan Academy. Series A 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Elemente der Mathematik 1 Indagationes Mathematicae. New Series 1 Turkish Journal of Mathematics 1 Filomat 1 Mathematical Communications 1 The Ramanujan Journal 1 Honam Mathematical Journal 1 Discrete Dynamics in Nature and Society 1 Integers 1 Bulletin of the Brazilian Mathematical Society. New Series 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Hacettepe Journal of Mathematics and Statistics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Bulletin of the Hellenic Mathematical Society Cited in 2 Fields 54 Number theory (11-XX) 1 Algebraic geometry (14-XX) Citations by Year