SU\G(𝔸)/K·U

Dirichlet series in the theory of Siegel modular forms

Yoshiyuki Kitaoka

Type: Article

Publication Date: 1984-09-01

Citations: 71

DOI: https://doi.org/10.1017/s0027763000020973

Abstract

We are concerned with Dirichlet series which appear in the Fourier expansion of the non-analytic Eisenstein series on the Siegel upper half space H m of degree m . In the case of m = 2 Kaufhold [1] evaluated them. Here we treat the general cases by a different method.

Locations

  • Nagoya Mathematical Journal - View - PDF
  • Project Euclid (Cornell University) - View - PDF

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+ PDF Chat On integrality of Eisenstein liftings 1996 Shin-ichiro Mizumoto
+ The Iwasawa Conjecture for Totally Real Fields 1990 Andrew Wiles
+ On eisenstein series for the Hermitian modular groups and the Jacobi groups 1992 Shōyū Nagaoka
+ Lifting modular forms of half-integral weight to Siegel modular forms of even genus 2002 Winfried Kohnen
+ PDF Chat Eisenstein-series on real, complex, and quaternionic half-spaces 1988 Aloys Krieg
+ L-functions attached to Jacobi forms of degreen 1991 Atsushi Murase
+ PDF Chat Congruences for Hecke eigenvalues of Siegel modular forms 2012 Hidenori Katsurada
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+ A note on Klingen’s Eisenstein series 1990 Yoshiyuki Kitaoka
+ Euler factor of a certain dirichlet series attached to siegel eisenstein Series 2001 Hidenori Katsurada

Works Cited by This (8)

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+ Modular forms and Dirichlet series 1969 A. P. Ogg
+ PDF Chat A note on local densities of quadratic forms 1983 Yoshiyuki Kitaoka
+ PDF Chat Modular forms of degree <i>n</i> and representation by quadratic forms 1979 Yoshiyuki Kitaoka
+ On Eisenstein series 1983 Goro Shimura
+ Confluent hypergeometric functions on tube domains 1982 Goro Shimura
+ Uber Die Analytische Theorie Der Quadratischen Formen III 1937 Carl Ludwig Siegel
+ Uber Die Analytische Theorie Der Quadratischen Formen 1935 Carl Ludwig Siegel
+ PDF Chat Modular forms of degree <i>n</i> and representation by quadratic forms II 1982 Yoshiyuki Kitaoka