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Arithmetic properties of series of reciprocals of algebraic integers

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  • S. B. Andersen, Department of Mathematics, Aarhus University, Ny Munkegade
  • ,
  • S. Kristensen

We obtain results bounding the degree of the series ∑n=1∞1/αn, where { αn} is a sequence of algebraic integers satisfying certain algebraic conditions and growth conditions. Our results extend results of Erdős, Hančl and Nair.

OriginalsprogEngelsk
TidsskriftMonatshefte fur Mathematik
Vol/bind190
Nummer4
Sider (fra-til)641-656
Antal sider16
ISSN0026-9255
DOI
StatusUdgivet - dec. 2019

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