The regularity of Diophantine quadruples
Volume: 370, Issue: 6, Pages: 3803 - 3831
Published: Dec 27, 2017
Abstract
A set of positive integers is called a Diophantine tuple if the product of any two elements in the set increased by the unity is a perfect square. A conjecture on the regularity of Diophantine quadruples asserts that any Diophantine triple can be uniquely extended to a Diophantine quadruple by joining an element exceeding the maximal element of the triple. The problem is reduced to studying an equation expressed as the coincidence of two linear...
Paper Details
Title
The regularity of Diophantine quadruples
Published Date
Dec 27, 2017
Volume
370
Issue
6
Pages
3803 - 3831
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