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Regularized product expressions of higher Riemann zeta functions
Author(s):
Tetsuya
Momotani
Journal:
Proc. Amer. Math. Soc.
134
(2006),
2541-2548.
MSC (2000):
Primary 11M36, 11M06.
Posted:
March 23, 2006
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Additional information
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.
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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
DOI:
10.1090/S0002-9939-06-08291-8
PII:
S 0002-9939(06)08291-8
Keywords:
Riemann's zeta function,
multiple gamma functions,
regularized products
Received by editor(s):
January 11, 2005
Received by editor(s) in revised form:
April 10, 2005.
Posted:
March 23, 2006
Communicated by:
Wen-Ching Winnie Li
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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