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

Published electronically:
October 9, 2008

MathSciNet review:
2465649

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We investigate the algebraic independence of some derivatives of certain multiplicative arithmetical functions over the field 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:
http://dx.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.