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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: 55 Publications since 2006, including 4 Additional arXiv Preprints
Reviewing Activity: 21 Reviews
Co-Authors: 39 Co-Authors with 50 Joint Publications
978 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 112 times in 61 Documents Cited by Year
On the Diophantine equation \((x+1)^k+(x+2)^k+\ldots +(lx)^k=y^n\). Zbl 1413.11074
Soydan, Gökhan
11
2017
A brief survey on the generalized Lebesgue-Ramanujan-Nagell equation. Zbl 1482.11054
Le, Maohua; Soydan, Gökhan
11
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
9
2018
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
8
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
8
2013
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
8
2010
On the Diophantine equation \(x^2 + 2^a \cdot 19^b = y^n\). Zbl 1291.11069
Soydan, Gökhan; Ulas, Maciej; Zhu, Huilin
7
2012
On the Diophantine equation \(\sum_{j=1}^kjF_j^p=F_n^q\). Zbl 1463.11047
Soydan, Gökhan; Németh, László; Szalay, László
6
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.
5
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 \(2^m + nx^2 = y^n\). Zbl 1276.11049
Luca, Florian; Soydan, Gökhan
4
2012
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
Complete solution of the Diophantine equation \(x^2+5^a\cdot 11^b = y^n\). Zbl 1425.11059
Soydan, G.; Tzanakis, N.
3
2016
The Diophantine equation \((x+1)^k+(x+2)^k+\ldots +(\ell x)^k=y^n\) revisited. Zbl 1449.11063
Bartoli, Daniele; Soydan, Gökhan
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 Diophantine equations \(x^2 \pm 5^\alpha \cdot p^n = y^n\). Zbl 1448.11072
Soydan, Gökhan
2
2018
On the Diophantine equation \((5pn^2 - 1)^x + (p(p - 5)n^2 + 1)^y=(pn)^z\). Zbl 1478.11047
Kizildere, Elif; Soydan, Gokhan
2
2020
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
Note on “On the Diophantine equation \(nx^2+2^{2m}=y^n\)”. Zbl 1316.11023
Soydan, Gökhan; Cangül, İsmail Naci
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
Elliptic curves containing sequences of consecutive cubes. Zbl 1405.14081
Savaş Çelık, Gamze; Soydan, Gökhan
1
2018
On elliptic curves induced by rational Diophantine quadruples. Zbl 1492.11103
Dujella, Andrej; Soydan, Gökhan
1
2022
A brief survey on the generalized Lebesgue-Ramanujan-Nagell equation. Zbl 1482.11054
Le, Maohua; Soydan, Gökhan
11
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
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
On the Diophantine equation \((5pn^2 - 1)^x + (p(p - 5)n^2 + 1)^y=(pn)^z\). Zbl 1478.11047
Kizildere, Elif; Soydan, Gokhan
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
9
2018
On the Diophantine equation \(\sum_{j=1}^kjF_j^p=F_n^q\). Zbl 1463.11047
Soydan, Gökhan; Németh, László; Szalay, László
6
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
11
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.
5
2015
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
8
2013
On the Diophantine equation \(x^2 + 2^a \cdot 19^b = y^n\). Zbl 1291.11069
Soydan, Gökhan; Ulas, Maciej; Zhu, Huilin
7
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 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
8
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
8
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

Citations by Year