Arithmetic properties of series of reciprocals of algebraic integers

2018/07/12 by Andersen, Simon Bruno, Kristensen, Simon
#11J72 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1807.04515

Abstract

We obtain results bounding the degree of the series ∑_n=1^∞ 1/α_n, where \α_n\ is a sequence of algebraic integers satisfying certain algebraic conditions and growth conditions. Our results extend results of Erdős, Hančl and Nair.

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