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Displaying similar documents to “On Dirichlet Series and Petersson Products for Siegel Modular Forms”

Surjectivity of Siegel Φ -operator for square free level and small weight

Siegfried Böcherer, Tomoyoshi Ibukiyama (2012)

Annales de l’institut Fourier

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We show the surjectivity of the (global) Siegel Φ -operator for modular forms for certain congruence subgroups of Sp ( 2 , ℤ ) and weight k = 4 , 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.

Quasimodular forms: an introduction

Emmanuel Royer (2012)

Annales mathématiques Blaise Pascal

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Quasimodular forms were the heroes of a Summer school held June 20 to 26, 2010 at Besse et Saint-Anastaise, France. We give a short introduction to quasimodular forms. More details on this topics may be found in [].

Congruences for Siegel modular forms

Dohoon Choi, YoungJu Choie, Olav K. Richter (2011)

Annales de l’institut Fourier

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We employ recent results on Jacobi forms to investigate congruences and filtrations of Siegel modular forms of degree 2 . In particular, we determine when an analog of Atkin’s U ( p ) -operator applied to a Siegel modular form of degree 2 is nonzero modulo a prime p . Furthermore, we discuss explicit examples to illustrate our results.

Geometric and p -adic Modular Forms of Half-Integral Weight

Nick Ramsey (2006)

Annales de l’institut Fourier

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In this paper we introduce a geometric formalism for studying modular forms of half-integral weight. We then use this formalism to define p -adic modular forms of half-integral weight and to construct p -adic Hecke operators.

Quasimodular forms and quasimodular polynomials

Min Ho Lee (2012)

Annales mathématiques Blaise Pascal

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This paper is based on lectures delivered at the Workshop on quasimodular forms held in June, 2010 in Besse, France, and it provides a survey of some recent work on quasimodular forms.