On Zeta Functions Associated with Prehomogeneous Vector Spaces

  1. Mikio Sato and
  2. Takuro Shintani
  1. Research Institute for Mathematical Sciences, Kyoto, Japan
  2. University of Tokyo, Princeton, New Jersey 08540
  3. The Institute for Advanced Study, Princeton, New Jersey 08540

Abstract

In this note, we construct certain families of Dirichlet series that satisfy functional equations. We shall also indicate an arithmetical application of our results. The work presented here depends upon the theory of prehomogeneous vector spaces.

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  1. PNAS 1972-05 vol. 69 no. 5 1081-1082
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