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math.NT2014
Additive properties of sequences of pseudo s-th powers
Javier Cilleruelo, Jean-Marc Deshouillers, Victor Lambert +1
In this paper, we study (random) sequences of pseudo s-th powers, as introduced by Erdös and Rényi in 1960. In 1975, Goguel proved that such a sequence is almost surely not an asym…
math.NT2014★ 3 cited
Gaps in sumsets of pseudo s-th power sequences
Javier Cilleruelo, Jean-Marc Deshouillers
We study the length of the gaps between consecutive members in the sumset sA when A is a pseudo s-th power sequence, with s>1. We show that, almost surely, limsup (b_{n+1}-b_{n})/l…