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On zeta functions associated to symmetric matrices III – An explicit form of L-Functions

Published online by Cambridge University Press:  22 January 2016

Tomoyoshi Ibukiyama  and
Hiroshi Saito
Tomoyoshi Ibukiyama
Affiliation:
Department of Mathematics, Faculty of Science, Osaka University, Osaka 560, Japan
Hiroshi Saito
Affiliation:
Department of Mathematics, Faculty of Science, Osaka University, Osaka 560, Japan
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Abstract.

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In [I-S2], we gave an explicit form of zeta functions associated to the space of symmetric matrices. In this paper, the case of L-functions is treated. In the case of definite symmetric matrices, we show the ratinality of special values of these L-functions.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 146 , June 1997 , pp. 149 - 183
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

References

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