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J. Korean Math. Soc. 2005; 42(4): 695-708

Printed July 1, 2005

Copyright © The Korean Mathematical Society.

Observations about algebraic dependence of Dirichlet series

Pattira Ruengsinsub, Vichian Laohakosol, and Patanee Udomkavanich

Kasetsart University, Kasetsart University, Chulalongkorn University

Abstract

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Certain observations about formal Dirichlet series whose coefficients are arithmetic functions are made. These include for example algebraic independence and representation as infinite series of logarithms.

Keywords: Dirichlet series, algebraic dependence, arithmetic func-tions.

MSC numbers: 11M41, 11J85, 11A25

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