Year: 2025
Type: preprint
Abstract: In this paper, we summarize the work on ternary Diophantine equation of the form $Ax^n+By^n=cz^m$, where $m \in \{2,3,n\} $, $n\geqslant 7 $ is a prime. Moreover, we completely solve some particular cases ($A=5^α, ~B=64,~ c=3, ~m=2; \quad A=2^α,~ B=27, ~c \in \{7,13\}, ~m=3$).
Source: arXiv (Cornell University)
Authors: Noubissie, Armand, Togbe, Alain
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979318797
Cites:
Cited by:
Related to: