Original scientific paper

The relative upper bound for the third element in a D(-1)-quadruple

Alan Filipin ; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia
Yasutsugu Fujita ; Department of Mathematics, College of Industrial Technology, Nihon University, Narashino, Chiba, Japan

Abstract

A set of m distinct positive integers is called a D(-1)-m-tuple if the product of any distinct two elements in the set decreased by one is a perfect square.
In this paper, we show that if {1,b,c,d} with b

Keywords

Diophantine tuples; system of Diophantine equations

Hrčak ID:

82961

URI

https://hrcak.srce.hr/82961

Publication date:

12.6.2012.

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