MMN-1533

On the size of Diophantine $m$-tuples for linear polynomials

A. Filipin; A. Jurasic;

Abstract

In this paper we prove that there does not exist a set with more than 16 nonzero polynomials in K[X], where K is any field of characteristic 0, such that the product of any two of them increased by a linear polynomial n from K[X] is a square of a polynomial from K[X].


Vol. 17 (2016), No. 2, pp. 861-876
DOI: 10.18514/MMN.2017.1533


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