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On the diophantine equation Px + Qy = z² [PDF]

open access: yes
Diophantine equation is a polynomial equation with two or more unknowns which integral solutions are required. An exponential Diophantine equation is an equation that has additional variable or variables occurring as exponents. This paper concentrates on
Japar, Izzati Izyani   +2 more
core   +1 more source

On the Diophantine equation $\frac{q^n-1}{q-1}=y$

open access: yes, 2003
summary:There exist many results about the Diophantine equation $(q^n-1)/(q-1)=y^m$, where $m\ge 2$ and $n\geq 3$. In this paper, we suppose that $m=1$, $n$ is an odd integer and $q$ a power of a prime number.
Khosravi, Amir, Khosravi, Behrooz
core   +1 more source

Undecidable diophantine equations [PDF]

open access: yesBulletin of the American Mathematical Society, 1980
openaire   +2 more sources

On prime powers in linear recurrence sequences. [PDF]

open access: yesAnn Math Quebec, 2023
Odjoumani J, Ziegler V.
europepmc   +1 more source

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