Number Theory

    

Regular Rational Diophantine Sextuples

Authors: Philip Gibbs

A polynomial equation in six variables is given that generalises the definition of regular rational Diophantine triples, quadruples and quintuples to regular rational Diophantine sextuples. The definition can be used to extend a rational Diophantine quintuple to a weak rational Diophantine sextuple. In some cases a regular sextuple is a full rational Diophantine sextuple. Ten examples of this are provided.

Comments: 13 Pages.

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Submission history

[v1] 2016-09-29 11:39:24
[v2] 2016-10-27 10:44:46

Unique-IP document downloads: 567 times

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