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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An algebraic independence result for Euler products of finite degree
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by Alexandru Zaharescu and Mohammad Zaki PDF
Proc. Amer. Math. Soc. 137 (2009), 1275-1283 Request permission

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
  • MR Author ID: 186235
  • 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
  • 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
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • 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
  • MathSciNet review: 2465649