Admissible -adic measures attached to triple products of elliptic cusp forms.
Über die Fourrierkoeffizienten des Siegelschen Eisensteinreihen.
Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen.
Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen II.
Über Funktionalgleichungen automorpher L-Funktionen zur Siegelschen Modulgruppe.
Über gewisse Siegelsche Modulformen zweiten Grades.
Estimates for Fourier coefficients of Siegel cusp forms.
Jacobi Forms and Discrete Series Representations of the Jacobi Group.
Surjectivity of Siegel -operator for square free level and small weight
We show the surjectivity of the (global) Siegel -operator for modular forms for certain congruence subgroups of and weight , where the standard techniques (Poincaré series or Klingen-Eisenstein series) are no longer available. Our main tools are theta series and genus versions of basis problems.
The Dirichlet series of Koecher and Maaß and modular forms of weight 3/2.
On a theorem of Waldspurger and on Eisenstein series of Klingen type.
-adic measures attached to Siegel modular forms
We study the critical values of the complex standard--function attached to a holomorphic Siegel modular form and of the twists of the -function by Dirichlet characters. Our main object is for a fixed rational prime number to interpolate -adically the essentially algebraic critical -values as the Dirichlet character varies thus providing a systematic control of denominators of critical values by generalized Kummer congruences. In order to organize this information we prove the existence of...
On Dirichlet Series and Petersson Products for Siegel Modular Forms
We prove that the Dirichlet series of Rankin–Selberg type associated with any pair of (not necessarily cuspidal) Siegel modular forms of degree and weight has meromorphic continuation to . Moreover, we show that the Petersson product of any pair of square–integrable modular forms of weight may be expressed in terms of the residue at of the associated Dirichlet series.
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