Diophantine triples with three parameters.

Autor: Cipu, Mihai, Fujita, Yasutsugu, Mignotte, Maurice
Zdroj: Research in Number Theory; 4/21/2024, Vol. 10 Issue 2, p1-23, 23p
Abstrakt: According to well-known conjectures, for n = 1 or 4, any D(n)-triple has unique prolongation to D(n)-quadruple obtained by adjoining a larger element. For the first time, these conjectures are examined in case the triples depend on three integer parameters. Unicity of extension is established under various additional hypotheses on parameters. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index