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Distributions with automorphy and Dirichlet series

Published online by Cambridge University Press:  22 January 2016

Toshiaki Suzuki
Toshiaki Suzuki*
Affiliation:
Department of Mathematics, Nagoya University
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In [1], Maass proved that the Dirichlet series associated with Siegel modular form satisfies a function equation. In this paper, we try to generalize the above fact to the indefinite case.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 73 , March 1979 , pp. 157 - 169
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1979

References

[1] Maass, H., Siegel’s Modular Forms and Dirichlet Series, Lecture note in Math., No. 216, Springer, Berlin-Heidelberg-New York, 1971.Google Scholar
[2] Sato, M. and Shintani, T., On zeta functions associated with prehomogeneous vector space, Ann. of Math. 1O0 (1974), 131–170.Google Scholar
[3] Shintani, T., On zeta functions associated with the vector space of quadratic forms, J. Fac. Science, Univ. of Tokyo, Sec. IA. Vol. 22, 25–65.Google Scholar
[4] Arakawa, T., Dirichlet series associated with Eisenstein series of higher degree, to appear in Comment. Univ. Sancti. Pauli.Google Scholar