Arithmetic progressions of squares, cubes and $n$-th powers
Number Theory
2007-07-05 v1
Abstract
In this paper we continue the investigations about unlike powers in arithmetic progression. We provide sharp upper bounds for the length of primitive non-constant arithmetic progressions consisting of squares/cubes and -th powers.
Keywords
Cite
@article{arxiv.0707.0593,
title = {Arithmetic progressions of squares, cubes and $n$-th powers},
author = {Lajos Hajdu and Szabolcs Tengely},
journal= {arXiv preprint arXiv:0707.0593},
year = {2007}
}