On Diophantine triples and quadruples

George Grossman, Yifan Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we consider Diophantine triples fa; b; cg; (denoted D(n)-3-tuples) and give necessary and sufficient conditions for existence of integer n given the 3-tuple fa; b; cg; so that ab + n; ac + n; bc + n are all squares of integers. Several examples as applications of the main results, related to both Diophantine triples and quadruples, are given.
Original languageEnglish
Pages (from-to)5-16
JournalNotes on Number Theory and Discrete Mathematics
Volume21
Issue number4
StatePublished - 2015

Fingerprint

Dive into the research topics of 'On Diophantine triples and quadruples'. Together they form a unique fingerprint.

Cite this