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Arithmetic properties of series of reciprocals of algebraic integers
Published 12 Jul 2018 in math.NT | (1807.04515v2)
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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