On Zeta Functions Associated with Prehomogeneous Vector Spaces

1972/05/01 by Mikio Sato, Takuro Shintani · 49 citations
Mathematics · #Functional Equations Stability Results #Advanced Algebra and Geometry #advanced mathematical theories #Arithmetic function #Mathematics #Vector space #Series (stratigraphy) #Pure mathematics #Construct (python library) #Dirichlet series #Dirichlet distribution #Algebra over a field #Applied mathematics #Mathematical analysis #Computer science #Biology

paper · open access · doi:10.1073/pnas.69.5.1081

published in Proceedings of the National Academy of Sciences 69(5), 1081-1082 (National Academy of Sciences)

openalex publication_date 1972/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11

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.

Citations

• Arithmetic Subgroups of Algebraic Groups

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