Arithmetic progressions of squares, cubes and n-th powers

2007/07/04 by Hajdu, Lajos, Tengely, Szabolcs
#11D61 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0707.0593

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 n-th powers.

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