Arithmetic properties of series of reciprocals of algebraic integers

Simon Bruno Andersen; Simon Kristensen

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arXiv · 1807.04515

Arithmetic properties of series of reciprocals of algebraic integers

Simon Bruno Andersen·Simon Kristensen

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Abstract

We obtain results bounding the degree of the series $\sum_{n=1}^{\infty} 1/\alpha_n$, where $\{\alpha_n\}$ is a sequence of algebraic integers satisfying certain algebraic conditions and growth conditions. Our results extend results of Erd\H{o}s, Han\v{c}l and Nair.

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Simon Bruno Andersen, Simon Kristensen. 2018-07-12. Arithmetic properties of series of reciprocals of algebraic integers. https://arxiv.org/abs/1807.04515

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