On Diophantine triples containing a triangular number

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1. Verfasser: Trebješanin, Marija Bliznac
Format: Preprint
Veröffentlicht: 2025
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author Trebješanin, Marija Bliznac
author_facet Trebješanin, Marija Bliznac
contents 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 $T_n$.
format Preprint
id arxiv_https___arxiv_org_abs_2510_26617
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On Diophantine triples containing a triangular number
Trebješanin, Marija Bliznac
Number Theory
11B37, 11D09
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 $T_n$.
title On Diophantine triples containing a triangular number
topic Number Theory
11B37, 11D09
url https://arxiv.org/abs/2510.26617