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A generating function for sums of multiple zeta values and its applications
Author(s):
Takashi
Aoki;
Yasuhiro
Kombu;
Yasuo
Ohno
Journal:
Proc. Amer. Math. Soc.
136
(2008),
387-395.
MSC (2000):
Primary 11M06, 40B05;
Secondary 33C05
Posted:
November 1, 2007
MathSciNet review:
2358475
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Abstract:
A generating function for specified sums of multiple zeta values is defined and a differential equation that characterizes this function is given. As applications, some relations for multiple zeta values over the field of rational numbers are discussed.
References:
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Additional Information:
Takashi
Aoki
Affiliation:
Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
Email:
aoki@math.kindai.ac.jp
Yasuhiro
Kombu
Affiliation:
Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
Email:
kombu@math.kindai.ac.jp
Yasuo
Ohno
Affiliation:
Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
Email:
ohno@math.kindai.ac.jp
DOI:
10.1090/S0002-9939-07-09175-7
PII:
S 0002-9939(07)09175-7
Keywords:
Multiple zeta values,
hypergeometric functions
Received by editor(s):
August 2, 2006
Posted:
November 1, 2007
Additional Notes:
The first author was supported in part by JSPS Grant-in-Aid No.~18540197.
The third author was supported in part by JSPS Grant-in-Aid No.~18540197 and No. 18740020.
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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