Mixed Siegel Modular Forms and Special Valuesof Certain Dirichlet Series

2000 ◽  
Vol 131 (2) ◽  
pp. 109-122 ◽  
Author(s):  
YoungJu Choie ◽  
Min Ho Lee
Keyword(s):  
Dirichlet Series ◽  
Modular Forms ◽  
Siegel Modular Forms

scholarly journals Dirichlet series in the theory of Siegel modular forms

1984 ◽  
Vol 95 ◽  
pp. 73-84 ◽  
Author(s):  
Yoshiyuki Kitaoka
Keyword(s):  
Dirichlet Series ◽  
Eisenstein Series ◽  
Half Space ◽  
Modular Forms ◽  
Fourier Expansion ◽  
Siegel Modular Forms

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

scholarly journals On Dirichlet Series and Petersson Products for Siegel Modular Forms

2008 ◽  
Vol 58 (3) ◽  
pp. 801-824 ◽  
Author(s):  
Siegfried Böcherer ◽  
Francesco Ludovico Chiera
Keyword(s):  
Dirichlet Series ◽  
Modular Forms ◽  
Siegel Modular Forms

scholarly journals Quotients of L-functions

2000 ◽  
Vol 160 ◽  
pp. 143-159
Author(s):  
Bernhard E. Heim
Keyword(s):  
Modular Form ◽  
Dirichlet Series ◽  
Modular Forms ◽  
Siegel Modular Forms ◽  
Siegel Modular Form ◽  
Euler Product ◽  
Jacobi Forms ◽  
New Variant

AbstractIn this paper a certain type of Dirichlet series, attached to a pair of Jacobi forms and Siegel modular forms is studied. It is shown that this series can be analyzed by a new variant of the Rankin-Selberg method. We prove that for eigenforms the Dirichlet series have an Euler product and we calculate all the local L-factors. Globally this Euler product is essentially the quotient of the standard L-functions of the involved Jacobi- and Siegel modular form.

scholarly journals Numerical computation of a certain Dirichlet series attached to Siegel modular forms of degree two

2012 ◽  
Vol 81 (280) ◽  
pp. 2361-2376 ◽  
Author(s):  
Nathan C. Ryan ◽  
Nils-Peter Skoruppa ◽  
Fredrik Strömberg
Keyword(s):  
Dirichlet Series ◽  
Numerical Computation ◽  
Modular Forms ◽  
Siegel Modular Forms
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