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Non-Archimedean standard zeta functions of Siegel modular forms

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1471)

Abstract

In this chapter we give explicit formulas for the special values of the standard zeta function D(s, f, χ) of a Siegel cusp form f of even degree m and of weight κ >2m + 2 with a Dirichlet character ψ; using these formulae we construct then a non-Archimedean interpolation of the special values.

Keywords

  • Zeta Function
  • Modular Form
  • Fourier Coefficient
  • Fourier Expansion
  • Eisenstein Series

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© 1991 Springer-Verlag Berlin Heidelberg

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Panchishkin, A.A. (1991). Non-Archimedean standard zeta functions of Siegel modular forms. In: Non-Archimedean L-Functions of Siegel and Hilbert Modular Forms. Lecture Notes in Mathematics, vol 1471. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21541-8_5

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  • DOI: https://doi.org/10.1007/978-3-662-21541-8_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54137-0

  • Online ISBN: 978-3-662-21541-8

  • eBook Packages: Springer Book Archive