engleski

Rational Diophantine sextuples containing two regular quadruples and one regular quintuple

A set of m distinct nonzero rationals {; ; ; ; ; a1, a2, . . . , am}; ; ; ; ; such that aiaj + 1 is a perfect square for all 1 ≤ i < j ≤ m, is called a rational Diophantine m-tuple. It is proved recently that there are infinitely many rational Diophantine sextuples. In this paper, we construct infinite families of rational Diophantine sextuples with special structure, namely the sextuples containing quadruples and quintuples of certain type.

Rational Diophantine sextuples, regular Diophantine quadruples, regular Diophantine quintuples, elliptic curves.

nije evidentirano