Murat Alan profile image
Murat Alan Prof. Dr. Yıldız Teknik Üniversitesi
Publication 6 Review 11 CrossRef Cited 3 TR Dizin Cited 4
6 Publication
11 Review
3 CrossRef Cited
4 TR Dizin Cited
0000-0003-2031-2725

Research Fields

Algebra and Number Theory

Institution

Yıldız Teknik Üniversitesi

Publications

On the Diophantine Equation $(a^n-1)(b^n-1)(c^n-1)=x^2$
Authors: Murat Alan , Yunus Yildirim
Published: 2026 , Journal of New Theory
DOI: 10.53570/jnt.1912478
FAVORITE 0 TOTAL DOWNLOAD COUNT 130

0

130

Primitive Pythagorean Triples With The Difference Of The Right Sides Is A Perfect Square
Authors: Murat Alan , Derya Mazineler
Published: 2025 , Natural and Applied Sciences Journal
DOI: 10.38061/idunas.1711231
FAVORITE 0 TOTAL DOWNLOAD COUNT 372

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372

Concerning the Solutions of Some Lebesgue-Ramanujan-Nagell Equations
Authors: Murat Alan , Mustafa Aydın
Published: 2025 , Communications in Advanced Mathematical Sciences
DOI: 10.33434/cams.1675491
FAVORITE 0 TOTAL DOWNLOAD COUNT 3313

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3313

On the Diophantine Equation $(8r^2+1)^x+(r^2-1)^y=(3r)^z$ Regarding Terai's Conjecture
Authors: Tuba Çokoksen , Murat Alan
Published: 2024 , Communications in Advanced Mathematical Sciences
DOI: 10.33434/cams.1561789
FAVORITE 0 TOTAL DOWNLOAD COUNT 884

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884

On the Diophantine Equation $\left(9d^2 + 1\right)^x + \left(16d^2 - 1\right)^y = (5d)^z$ Regarding Terai's Conjecture
Authors: Tuba Çokoksen , Murat Alan
Published: 2024 , Journal of New Theory
DOI: 10.53570/jnt.1479551
FAVORITE 0 TOTAL DOWNLOAD COUNT 984

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984

On the Exponential Diophantine Equation $(6m^{2}+1)^{x}+(3m^{2}-1)^{y}=(3m)^{z}$
Authors: Murat Alan , Ruhsar Gizem Biratlı
Published: 2022 , Fundamental Journal of Mathematics and Applications
DOI: 10.33401/fujma.1038699
FAVORITE 0 TOTAL DOWNLOAD COUNT 1145

0

1145

Articles published in
Communications in Advanced Mathematical Sciences
Communications in Advanced Mathematical Sciences
Fundamental Journal of Mathematics and Applications
Fundamental Journal of Mathematics and Applications
Journal of New Theory
Journal of New Theory
Natural and Applied Sciences Journal
Natural and Applied Sciences Journal

Reviews

Celal Bayar University Journal of Science
Celal Bayar University Journal of Science
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
International Journal of Mardin Studies
International Journal of Mardin Studies
Journal of New Theory
Journal of New Theory
Mathematical Advances in Pure and Applied Sciences
Mathematical Advances in Pure and Applied Sciences
Sinop University Journal of Natural Sciences
Sinop University Journal of Natural Sciences
Turkish Journal of Nature and Science
Turkish Journal of Nature and Science
Yuzuncu Yil University Journal of the Institute of Natural and Applied Sciences
Yuzuncu Yil University Journal of the Institute of Natural and Applied Sciences

Publications

On the Diophantine Equation $\left(9d^2 + 1\right)^x + \left(16d^2 - 1\right)^y = (5d)^z$ Regarding Terai's Conjecture
Authors: Tuba Çokoksen , Murat Alan
Published: 2024 , Journal of New Theory
DOI: 10.53570/jnt.1479551
CITED 1 FAVORITE 0 TOTAL DOWNLOAD COUNT 984

1

0

984

On the Exponential Diophantine Equation $(6m^{2}+1)^{x}+(3m^{2}-1)^{y}=(3m)^{z}$
Authors: Murat Alan , Ruhsar Gizem Biratlı
Published: 2022 , Fundamental Journal of Mathematics and Applications
DOI: 10.33401/fujma.1038699
CITED 2 FAVORITE 0 TOTAL DOWNLOAD COUNT 1145

2

0

1145

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