Arithmetic progressions of squares, cubes and $n$-th powers

Details Arithmetic progressions of squares, cubes and $n$-th powers Arithmetic progressions of squares, cubes and $n$-th powers

2007-07-04

arxiv.org/abs/0707.0593v1

Mathematics

Number Theory

Scientific paper

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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