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ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS V

Part of: Zeta and $L$-functions: analytic theory Lie algebras and Lie superalgebras

Published online by Cambridge University Press:  26 August 2014

YASUSHI KOMORI ,
KOHJI MATSUMOTO  and
HIROFUMI TSUMURA
YASUSHI KOMORI
Affiliation:
Department of Mathematics, Rikkyo University, Nishi-Ikebukuro, Toshima-ku, Tokyo 171-8501, Japan e-mails: [email protected]
KOHJI MATSUMOTO
Affiliation:
Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan e-mails: [email protected]
HIROFUMI TSUMURA
Affiliation:
Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan e-mails: [email protected]
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Abstract

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We study the values of the zeta-function of the root system of type G2 at positive integer points. In our previous work we considered the case when all integers are even, but in the present paper we prove several theorems which include the situation when some of the integers are odd. The underlying reason why we may treat such cases, including odd integers, is also discussed.

MSC classification

Primary: 11M41: Other Dirichlet series and zeta functions
Secondary: 17B20: Simple, semisimple, reductive (super)algebras 40B05: Multiple sequences and series (should also be assigned at least one other classification number in this section)
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 57 , Issue 1 , January 2015 , pp. 107 - 130
Copyright
Copyright © Glasgow Mathematical Journal Trust 2014 

References

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