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Author ID: soydan.gokhan Recent zbMATH articles by "Soydan, Gokhan"
Published as: Soydan, Gökhan; Soydan, G.; Soydan, Gokhan
Homepage: http://gsoydan.home.uludag.edu.tr/index.php/en/
External Links: MGP
Documents Indexed: 57 Publications since 2006, including 3 Additional arXiv Preprints
Reviewing Activity: 23 Reviews
Co-Authors: 39 Co-Authors with 52 Joint Publications
998 Co-Co-Authors
all top 5

Serials

5 Journal of Number Theory
4 Miskolc Mathematical Notes
3 Indian Journal of Pure & Applied Mathematics
3 Rocky Mountain Journal of Mathematics
3 Publicationes Mathematicae Debrecen
3 Advanced Studies in Contemporary Mathematics (Kyungshang)
2 Periodica Mathematica Hungarica
2 Colloquium Mathematicum
2 Glasnik Matematički. Serija III
1 Archivum 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 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică
1 Mathematical Communications
1 Honam Mathematical Journal
1 Journal of Integer Sequences
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 International Journal of Number Theory
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

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 131 times in 71 Documents Cited by Year
A brief survey on the generalized Lebesgue-Ramanujan-Nagell equation. Zbl 1482.11054
Le, Maohua; Soydan, Gökhan
15
2020
On the Diophantine equation \((x+1)^k+(x+2)^k+\ldots +(lx)^k=y^n\). Zbl 1413.11074
Soydan, Gökhan
12
2017
On the Diophantine equation \(x^2 + 2^a \cdot 11^b = y^n\). Zbl 1219.11056
Cangül, Ismail Naci; Demirci, Musa; Luca, Florian; Pintér, Ákos; Soydan, Gökhan
10
2010
On the Diophantine equation \((x+1)^{k}+(x+2)^{k}+\ldots+(2x)^{k}=y^{n}\). Zbl 1433.11034
Bérczes, Attila; Pink, István; Savaş, Gamze; Soydan, Gökhan
10
2018
On the Diophantine equation \(x^2+5^a\cdot 11^b=y^n\). Zbl 1237.11019
Demirci, Musa; Cangül, İsmail Naci; Soydan, Gökhan; Tzanakis, Nikos
9
2010
On the Diophantine equation \(x^2+2^a\cdot 3^b \cdot 11^c = y^n\). Zbl 1349.11069
Cangül, İsmail Naci; Demirci, Musa; İnam, İlker; Luca, Florian; Soydan, Gökhan
9
2013
On the Diophantine equation \(x^2 + 2^a \cdot 19^b = y^n\). Zbl 1291.11069
Soydan, Gökhan; Ulas, Maciej; Zhu, Huilin
8
2012
On the Diophantine equation \(\sum_{j=1}^kjF_j^p=F_n^q\). Zbl 1463.11047
Soydan, Gökhan; Németh, László; Szalay, László
7
2018
On the exponential Diophantine equation \(x^2 + 2^a p^b = y^n\). Zbl 1349.11078
Zhu, H.; Le, M.; Soydan, G.; Togbé, A.
6
2015
An application of Baker’s method to the Jeśmanowicz’ conjecture on primitive Pythagorean triples. Zbl 1449.11066
Le, Maohua; Soydan, Gökhan
5
2020
On the Diophantine equation \(((c+1)m^{2}+1)^{x}+(cm^{2}-1)^{y}=(am)^z\). Zbl 1424.11084
Kizildere, Elif; Miyazaki, Takafumi; Soydan, Gökhan
4
2018
On a class of Lebesgue-Ljunggren-Nagell type equations. Zbl 1461.11051
Dąbrowski, Andrzej; Günhan, Nursena; Soydan, Gökhan
4
2020
The Diophantine equation \((x+1)^k+(x+2)^k+\ldots +(\ell x)^k=y^n\) revisited. Zbl 1449.11063
Bartoli, Daniele; Soydan, Gökhan
4
2020
On the Diophantine equation \(2^m + nx^2 = y^n\). Zbl 1276.11049
Luca, Florian; Soydan, Gökhan
4
2012
On the Diophantine equation \((5pn^2 - 1)^x + (p(p - 5)n^2 + 1)^y=(pn)^z\). Zbl 1478.11047
Kizildere, Elif; Soydan, Gokhan
3
2020
Complete solution of the Diophantine equation \(x^2+5^a\cdot 11^b = y^n\). Zbl 1425.11059
Soydan, G.; Tzanakis, N.
3
2016
A note on the ternary purely exponential Diophantine equation \(A^x+B^y=C^z\) with \(A+B=C^2\). Zbl 1463.11106
Kizildere, 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 1459.11043
Ömür, Neşe; Soydan, Gökhan; Ulutaş, Yücel Türker; Doǧru, Yusuf
2
2020
A note on the Diophantine equations \(x^2 \pm 5^\alpha \cdot p^n = y^n\). Zbl 1448.11072
Soydan, Gökhan
2
2018
On the Diophantine equation \(x^2 + 7^\alpha\cdot 11^\beta= y^n\). Zbl 1260.11021
Soydan, Gökhan
2
2012
The Diophantine equation \(x^2+11^m=y^n\). Zbl 1197.11041
Soydan, Gökhan; Demirci, Musa; Cangül, İsmail Naci
1
2009
A \(p\)-adic look at the Diophantine equation \(x^2+11^{2k} = y^n\). Zbl 1229.11054
Cangül, Ismail Naci; Soydan, Gökhan; Simsek, Yilmaz
1
2009
Corrigendum to “On the diophantine equation \(X^2 +7^\alpha \cdot 11^\beta =Y^N\)”. Zbl 1313.11068
Soydan, Gökhan
1
2014
A note on the exponential Diophantine equation \((A^2n)^x+(B^2n)^y=((A^2+B^2)n)^z\). Zbl 1472.11104
Le, Maohua; Soydan, Gökhan
1
2020
On elliptic curves induced by rational Diophantine quadruples. Zbl 1492.11103
Dujella, Andrej; Soydan, Gökhan
1
2022
On the additive structure of the set of quadratic residues modulo \(p\). Zbl 1207.11007
Soydan, Gökhan; İkikardes, Nazli Yildiz; Demirci, Musa; Cangül, İsmail Naci
1
2007
Note on “On the Diophantine equation \(nx^2+2^{2m}=y^n\)”. Zbl 1316.11023
Soydan, Gökhan; Cangül, İsmail Naci
1
2014
On the ratio of directed lengths on the plane with generalized absolute value metric and related properties. Zbl 1289.51009
Soydan, Gökhan; Doğru, Yusuf; Arslandoğan, N. Umut
1
2012
Elliptic curves containing sequences of consecutive cubes. Zbl 1405.14081
Savaş Çelık, Gamze; Soydan, Gökhan
1
2018
A modular approach to the generalized Ramanujan-Nagell equation. Zbl 1502.11039
Mutlu, Elif Kızıldere; Le, Maohua; Soydan, Gökhan
1
2022
On elliptic curves induced by rational Diophantine quadruples. Zbl 1492.11103
Dujella, Andrej; Soydan, Gökhan
1
2022
A modular approach to the generalized Ramanujan-Nagell equation. Zbl 1502.11039
Mutlu, Elif Kızıldere; Le, Maohua; Soydan, Gökhan
1
2022
A brief survey on the generalized Lebesgue-Ramanujan-Nagell equation. Zbl 1482.11054
Le, Maohua; Soydan, Gökhan
15
2020
An application of Baker’s method to the Jeśmanowicz’ conjecture on primitive Pythagorean triples. Zbl 1449.11066
Le, Maohua; Soydan, Gökhan
5
2020
On a class of Lebesgue-Ljunggren-Nagell type equations. Zbl 1461.11051
Dąbrowski, Andrzej; Günhan, Nursena; Soydan, Gökhan
4
2020
The Diophantine equation \((x+1)^k+(x+2)^k+\ldots +(\ell x)^k=y^n\) revisited. Zbl 1449.11063
Bartoli, Daniele; Soydan, Gökhan
4
2020
On the Diophantine equation \((5pn^2 - 1)^x + (p(p - 5)n^2 + 1)^y=(pn)^z\). Zbl 1478.11047
Kizildere, Elif; Soydan, Gokhan
3
2020
A note on the ternary purely exponential Diophantine equation \(A^x+B^y=C^z\) with \(A+B=C^2\). Zbl 1463.11106
Kizildere, 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 1459.11043
Ömür, Neşe; Soydan, Gökhan; Ulutaş, Yücel Türker; Doǧru, Yusuf
2
2020
A note on the exponential Diophantine equation \((A^2n)^x+(B^2n)^y=((A^2+B^2)n)^z\). Zbl 1472.11104
Le, Maohua; Soydan, Gökhan
1
2020
On the Diophantine equation \((x+1)^{k}+(x+2)^{k}+\ldots+(2x)^{k}=y^{n}\). Zbl 1433.11034
Bérczes, Attila; Pink, István; Savaş, Gamze; Soydan, Gökhan
10
2018
On the Diophantine equation \(\sum_{j=1}^kjF_j^p=F_n^q\). Zbl 1463.11047
Soydan, Gökhan; Németh, László; Szalay, László
7
2018
On the Diophantine equation \(((c+1)m^{2}+1)^{x}+(cm^{2}-1)^{y}=(am)^z\). Zbl 1424.11084
Kizildere, Elif; Miyazaki, Takafumi; Soydan, Gökhan
4
2018
A note on the Diophantine equations \(x^2 \pm 5^\alpha \cdot p^n = y^n\). Zbl 1448.11072
Soydan, Gökhan
2
2018
Elliptic curves containing sequences of consecutive cubes. Zbl 1405.14081
Savaş Çelık, Gamze; Soydan, Gökhan
1
2018
On the Diophantine equation \((x+1)^k+(x+2)^k+\ldots +(lx)^k=y^n\). Zbl 1413.11074
Soydan, Gökhan
12
2017
Complete solution of the Diophantine equation \(x^2+5^a\cdot 11^b = y^n\). Zbl 1425.11059
Soydan, G.; Tzanakis, N.
3
2016
On the exponential Diophantine equation \(x^2 + 2^a p^b = y^n\). Zbl 1349.11078
Zhu, H.; Le, M.; Soydan, G.; Togbé, A.
6
2015
Corrigendum to “On the diophantine equation \(X^2 +7^\alpha \cdot 11^\beta =Y^N\)”. Zbl 1313.11068
Soydan, Gökhan
1
2014
Note on “On the Diophantine equation \(nx^2+2^{2m}=y^n\)”. Zbl 1316.11023
Soydan, Gökhan; Cangül, İsmail Naci
1
2014
On the Diophantine equation \(x^2+2^a\cdot 3^b \cdot 11^c = y^n\). Zbl 1349.11069
Cangül, İsmail Naci; Demirci, Musa; İnam, İlker; Luca, Florian; Soydan, Gökhan
9
2013
On the Diophantine equation \(x^2 + 2^a \cdot 19^b = y^n\). Zbl 1291.11069
Soydan, Gökhan; Ulas, Maciej; Zhu, Huilin
8
2012
On the Diophantine equation \(2^m + nx^2 = y^n\). Zbl 1276.11049
Luca, Florian; Soydan, Gökhan
4
2012
On the Diophantine equation \(x^2 + 7^\alpha\cdot 11^\beta= y^n\). Zbl 1260.11021
Soydan, Gökhan
2
2012
On the ratio of directed lengths on the plane with generalized absolute value metric and related properties. Zbl 1289.51009
Soydan, Gökhan; Doğru, Yusuf; Arslandoğan, N. Umut
1
2012
On the Diophantine equation \(x^2 + 2^a \cdot 11^b = y^n\). Zbl 1219.11056
Cangül, Ismail Naci; Demirci, Musa; Luca, Florian; Pintér, Ákos; Soydan, Gökhan
10
2010
On the Diophantine equation \(x^2+5^a\cdot 11^b=y^n\). Zbl 1237.11019
Demirci, Musa; Cangül, İsmail Naci; Soydan, Gökhan; Tzanakis, Nikos
9
2010
The Diophantine equation \(x^2+11^m=y^n\). Zbl 1197.11041
Soydan, Gökhan; Demirci, Musa; Cangül, İsmail Naci
1
2009
A \(p\)-adic look at the Diophantine equation \(x^2+11^{2k} = y^n\). Zbl 1229.11054
Cangül, Ismail Naci; Soydan, Gökhan; Simsek, Yilmaz
1
2009
On the additive structure of the set of quadratic residues modulo \(p\). Zbl 1207.11007
Soydan, Gökhan; İkikardes, Nazli Yildiz; Demirci, Musa; Cangül, İsmail Naci
1
2007
all top 5

Cited by 83 Authors

14 Soydan, Gokhan
10 Le, Maohua
7 Togbé, Alain
6 Patel, Vandita
4 Tchammou, Euloge B.
3 Alan, Murat
3 Fu, Ruiqin
3 Fujita, Yasutsugu
3 Koutsianas, Angelos
3 Luca, Florian
3 Mutlu, Elif Kızıldere
3 Szalay, László
3 Yang, Hai
2 Argáez-García, Alejandro
2 Chakraborty, Kalyan
2 Godinho, Hemar
2 Goedhart, Eva G.
2 Grundman, Helen G.
2 Gueth, Krisztián
2 Hoque, Azizul
2 Marques, Diego
2 Nguyen Xuan Tho
2 Özkan, Engin
2 Pink, István
2 Sharma, Richa
2 Siksek, Samir
2 Terai, Nobuhiro
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 Coppola, Nirvana
1 Dąbrowski, Andrzej Bogdan
1 Das, Pranabesh
1 Demirci, Musa
1 Dey, Pallab Kanti
1 Durukan, İnan
1 Fei, Shuanglin
1 Freitas, Gérsica
1 Gajović, Stevan
1 Ganesh, Ashokan Hari
1 Ganie, Abdul Hamid
1 Ghadermarzi, Amir
1 Godinho, Hemar T.
1 Guo, Xiaoyan
1 Iranzo, Mar Curcó
1 Khawaja, Maleeha
1 Kim, Byung Hak
1 Kim, Kyung Rok
1 Kitayama, Hidetaka
1 Kizildere, Elif
1 Ko, Il Seog
1 Kundu, Debanjana
1 Lei, Deli
1 Lelis, Jean
1 Li, Aihua
1 Luo, Jiagui
1 Nansoko, Souleymane
1 Németh, László
1 Neumann, Victor G. L.
1 Pan, Xiaowei
1 Park, Hyun Gyu
1 Prabhakaran, Kumaresan
1 Rábai, Zsolt
1 Ray, Anwesh
1 Rayaguru, Sai Gopal
1 Sadek, Mohammad
1 Salami, Sajad
1 Savaş, Gamze
1 Shamsi Zargar, Arman
1 Silva, Elaine
1 Tagawa, Hiroyuki
1 Taki Eldin, Ramy Farouk
1 Ulas, Maciej
1 Ülkem, Özge
1 Urahashi, Keiichi
1 Uysal, Mine
1 Yesin, Tuğba
1 Zengin, Uǧur
all top 5

Cited in 38 Serials

7 Periodica Mathematica Hungarica
7 Journal of Number Theory
6 Indian Journal of Pure & Applied Mathematics
3 Rocky Mountain Journal of Mathematics
3 Archivum Mathematicum
3 Mathematica Slovaca
3 Integers
3 International Journal of Number Theory
2 Bulletin of the Australian Mathematical Society
2 Results in Mathematics
2 Indagationes Mathematicae. New Series
2 Mediterranean Journal of Mathematics
2 Communications in Mathematics
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 Expositiones Mathematicae
1 Turkish Journal of Mathematics
1 Filomat
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Mathematical Communications
1 The Ramanujan Journal
1 Honam Mathematical Journal
1 Discrete Dynamics in Nature and Society
1 Journal of Integer Sequences
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 Acta Mathematica Sinica. Chinese Series
1 São Paulo Journal of Mathematical Sciences
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Research in Number Theory
1 Korean Journal of Mathematics
1 Bulletin of the Hellenic Mathematical Society

Citations by Year