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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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Regularized product expressions of higher Riemann zeta functions
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by Tetsuya Momotani PDF
Proc. Amer. Math. Soc. 134 (2006), 2541-2548 Request permission

Abstract:

As a generalization of recent work by Kurokawa, Matsuda, and Wakayama (2004) we introduce a higher Riemann zeta function for an abstract sequence. Then we explicitly determine its regularized product expression.
References
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Additional Information
  • Tetsuya Momotani
  • Affiliation: Graduate School of Mathematics, Kyushu University 6-10-1, Hakozaki Fukuoka 812-8581, Japan
  • Email: momo@math.kyushu-u.ac.jp
  • Received by editor(s): January 11, 2005
  • Received by editor(s) in revised form: April 10, 2005
  • Published electronically: March 23, 2006
  • Communicated by: Wen-Ching Winnie Li
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 2541-2548
  • MSC (2000): Primary 11M36, 11M06
  • DOI: https://doi.org/10.1090/S0002-9939-06-08291-8
  • MathSciNet review: 2213731