A brief survey on the generalized Lebesgue-Ramanujan-Nagell equation
M Le, G Soydan - arXiv preprint arXiv:2001.09617, 2020 - arxiv.org
arXiv:2001.09617v1 [math.NT] 27 Jan 2020 Page 1 arXiv:2001.09617v1 [math.NT] 27 Jan
2020 A BRIEF SURVEY ON THE GENERALIZED LEBESGUE-RAMANUJAN-NAGELL …
2020 A BRIEF SURVEY ON THE GENERALIZED LEBESGUE-RAMANUJAN-NAGELL …
Some exponential diophantine equations II: The equation x2 – Dy2 = kz for even k
Y Fujita, M Le - Mathematica Slovaca, 2022 - degruyter.com
Let D be a nonsquare integer, and let k be an integer with| k|≥ 1 and gcd (D, k)= 1. In the
part I of this paper, using some properties on the representation of integers by binary …
part I of this paper, using some properties on the representation of integers by binary …
On the Diophantine equation
M Alan, U Zengin - Periodica Mathematica Hungarica, 2020 - Springer
On the Diophantine equation $$x^2+3^a41^b=y^n $$ | SpringerLink Skip to main content
Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home …
Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home …
[PDF][PDF] Complete solution of the Diophantine equation x2+ 5a11b= yn
G Soydan, N Tzanakis - Bull. of the Hellenic Math. Soc, 2016 - researchgate.net
The title equation is completely solved in integers (n, x, y, a, b), where n≥ 3, gcd (x, y)= 1
and a, b≥ 0. The most difficult stage of the resolution is the explicit resolution of a quintic …
and a, b≥ 0. The most difficult stage of the resolution is the explicit resolution of a quintic …
An Exponential Diophantine equation
S Muthuvel, R Venkatraman - arXiv preprint arXiv:2405.09252, 2024 - arxiv.org
The objective of the paper is to determine the complete solutions for the Diophantine
equation $ x^ 2+ 3^{\alpha} 113^{\beta}= y^{\mathfrak {n}} $ in positive integers $ x $ and $ y …
equation $ x^ 2+ 3^{\alpha} 113^{\beta}= y^{\mathfrak {n}} $ in positive integers $ x $ and $ y …
On the exponential Diophantine equation
K Chakraborty, A Hoque - arXiv preprint arXiv:2308.12708, 2023 - arxiv.org
We study the exponential Diophantine equation $ x^ 2+ p^ mq^ n= 2y^ p $ in positive
integers $ x, y, m, n $, and odd primes $ p $ and $ q $ using primitive divisors of Lehmer …
integers $ x, y, m, n $, and odd primes $ p $ and $ q $ using primitive divisors of Lehmer …
Complete solutions of a Lebesgue-Ramanujan-Nagell type equation
P Baruah, A Das, A Hoque - Archivum Mathematicum, 2024 - dml.cz
We consider the Lebesgue-Ramanujan-Nagell type equation $ x^ 2+ 5^ a13^ b17^ c= 2^
my^ n $, where $ a, b, c, m\ge 0, n\ge 3$ and $ x, y\ge 1$ are unknown integers with $\gcd …
my^ n $, where $ a, b, c, m\ge 0, n\ge 3$ and $ x, y\ge 1$ are unknown integers with $\gcd …
The diophantine equation
H Godinho, VGL Neumann - International Journal of Number Theory, 2021 - World Scientific
In this paper, we consider the Diophantine equation in the title, where p, q are distinct odd
prime numbers and a, b are natural numbers. We present many results given conditions for …
prime numbers and a, b are natural numbers. We present many results given conditions for …
On the diophantine equation
M Alan, M Aydin - Archivum Mathematicum, 2023 - dml.cz
In this paper, we find all integer solutions $(x, y, n, a, b, c) $ of the equation in the title for non-
negative integers $ a, b $ and $ c $ under the condition that the integers $ x $ and $ y $ are …
negative integers $ a, b $ and $ c $ under the condition that the integers $ x $ and $ y $ are …
[PDF][PDF] A NOTE ON THE DIOPHANTINE EQUATIONSx2 pn= yn
G Soydan - Communications Faculty of Sciences University of …, 2018 - dergipark.org.tr
A NOTE ON THE DIOPHANTINE EQUATIONS x2 ± 5α · pn = yn 1. Introduction The
Diophantine equation x2 + B = yn, x, y ≥ 1, n ( Page 1 Commun. Fac. Sci. Univ. Ank. Ser …
Diophantine equation x2 + B = yn, x, y ≥ 1, n ( Page 1 Commun. Fac. Sci. Univ. Ank. Ser …