engleski

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

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 < c < d is a D(−1)-quadruple, then c < 9.6b^4.

Diophantine tuples; system of Diophantine equations

nije evidentirano