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On L-functions associated with the vector space of binary quadratic forms

Published online by Cambridge University Press:  22 January 2016

Hiroshi Saito
Hiroshi Saito*
Affiliation:
Graduate School of Human and Environmental Studies, Kyoto UniversityKyoto 606, Japan
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The purpose of this paper is to prove functional equations of L-functions associated with the vector space of binary quadratic forms and determine their poles and residues. For a commutative ring K, let V(K) be the set of all symmetric matrices of degree 2 with coefficients in K. In V(C), we consider the inner product

where for .

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 130 , June 1993 , pp. 149 - 176
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1993

References

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