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Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

An algebraic independence result for Euler products of finite degree

Author(s): Alexandru Zaharescu; Mohammad Zaki
Journal: Proc. Amer. Math. Soc. 137 (2009), 1275-1283.
MSC (2000): Primary 11J85, 13J99
Posted: 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: 10.1090/S0002-9939-08-09622-6
PII: S 0002-9939(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
Posted: October 9, 2008
Communicated by: Ken Ono
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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