Diophantine triples with three parameters

期刊论文
发表日期：

2024年4月14日

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Mihai Cipu,
Yasutsugu Fujita,
Maurice Mignotte

摘要

According to well-known conjectures, for $n=1$ $n = 1$ 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.