An algebraic independence result for Euler products of finite degree

Zaharescu, Alexandru; Zaki, Mohammad

doi:10.1090/S0002-9939-08-09622-6

An algebraic independence result for Euler products of finite degree
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by Alexandru Zaharescu and Mohammad Zaki

Proc. Amer. Math. Soc. 137 (2009), 1275-1283

DOI: https://doi.org/10.1090/S0002-9939-08-09622-6

Published electronically: October 9, 2008

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Abstract:

We investigate the algebraic independence of some derivatives of certain multiplicative arithmetical functions over the field $\mathbb {C}$ of complex numbers.

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