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An algebraic independence result for Euler products of finite degree


Authors: Alexandru Zaharescu and Mohammad Zaki
Journal: Proc. Amer. Math. Soc. 137 (2009), 1275-1283
MSC (2000): Primary 11J85, 13J99
DOI: https://doi.org/10.1090/S0002-9939-08-09622-6
Published electronically: October 9, 2008
MathSciNet review: 2465649
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Abstract | References | Similar Articles | Additional Information

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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Additional Information

Alexandru Zaharescu
Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, Illinois 61801
Email: zaharesc@math.uiuc.edu

Mohammad Zaki
Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, Illinois 61801
Email: mzaki@math.uiuc.edu

DOI: https://doi.org/10.1090/S0002-9939-08-09622-6
Keywords: Arithmetical functions, algebraic independence
Received by editor(s): January 25, 2008
Received by editor(s) in revised form: May 1, 2008
Published electronically: October 9, 2008
Communicated by: Ken Ono
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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