Original paper
Generalizations of classical results on Jeśmanowicz' conjecture concerning Pythagorean triples II
Abstract
A conjecture proposed by Jeśmanowicz on Pythagorean triples states that for any fixed primitive Pythagorean triple (a,b,c) such that a2+b2=c2, the Diophantine equation ax+by=cz has only the trivial solution in positive integers x,y and z. In this paper we establish the conjecture for the case where b is even and either a or c is congruent to ±1 modulo the product of all prime factors of...
Paper Details
Title
Generalizations of classical results on Jeśmanowicz' conjecture concerning Pythagorean triples II
Published Date
Mar 25, 2014
Journal
Volume
141
Pages
184 - 201