학술논문
ON THE DIOPHANTINE EQUATION x² + 2a 3b 73c = yn .
Document Type
Article
Author
Source
Subject
Language
ISSN
0044-8753
Abstract
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 relatively prime and n ≥ 3. The proof depends on the famous primitive divisor theorem due to Bilu, Hanrot and Voutier and the computational techniques on some elliptic curves. [ABSTRACT FROM AUTHOR]