On Diophantine triples containing a triangular number

Abstract

A general construction yielding infinitely many families of $D(m^2)$-triples of triangular numbers is presented. Moreover, each triple obtained from this construction contains the same triangular number $T_n$.

arXiv comment5 pgs

References in corpus (2)

• There is no Diophantine $D(-1)$--quadruple
• Nonexistence of $D(4)$-quintuples