Displaying similar documents to “Primitive newforms of weight 3/2”

One special class of modular forms and group representations

Galina V. Voskresenskaya (1999)

Journal de théorie des nombres de Bordeaux

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In this article we consider one special class of modular forms which are products of Dedekind η -functions and the relationships between these functions and representations of finite groups.

Congruences between Siegel modular forms on the level of group cohomology

Karsten Buecker (1996)

Annales de l'institut Fourier

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Vector-valued Siegel modular forms may be found in certain cohomology groups with coefficients lying in an irreducible representation of the symplectic group. Using functoriality in the coefficients, we show that the components of the cohomology are independent of the weight parameter. The meaning of depends on a choice of parabolic subgroup of G S p ( 4 ) , giving a particular direction in the change of weight. Our results complement those of Taylor and Tilouine-Urban for the two other possible...

p -adic interpolation of convolutions of Hilbert modular forms

Volker Dünger (1997)

Annales de l'institut Fourier

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In this paper we construct p -adic measures related to the values of convolutions of Hilbert modular forms of integral and half-integral weight at the negative critical points under the assumption that the underlying totally real number field F has class number h F = 1 . This extends the result of Panchishkin [Lecture Notes in Math., 1471, Springer Verlag, 1991 ] who treated the case that both modular forms are of integral weight. In order to define the measures, we need to introduce the twist...