On $k$-th power Diophantine triples of the form $\{a^k, b, c\}$
Number Theory
2026-04-28 v1
Abstract
In this paper, we prove that there are no -th power Diophantine triples of the form for and .
Cite
@article{arxiv.2604.24650,
title = {On $k$-th power Diophantine triples of the form $\{a^k, b, c\}$},
author = {Clemens Fuchs and Miriam Schönauer},
journal= {arXiv preprint arXiv:2604.24650},
year = {2026}
}