Complete solution of the polynomial version of a problem of Diophantus

✍ Scribed by Andrej Dujella; Clemens Fuchs

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 262 KB
• Volume: 106
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1016/j.jnt.2003.12.011

✦ Synopsis

In this paper, we prove that if fa; b; c; dg is a set of four non-zero polynomials with integer coefficients, not all constant, such that the product of any two of its distinct elements plus 1 is a square of a polynomial with integer coefficients, then

This settles the ''strong'' Diophantine quintuple conjecture for polynomials with integer coefficients.