Displaying similar documents to “Heegner cycles, modular forms and jacobi forms”

Jacobi-Eisenstein series of degree two over Cayley numbers.

Minking Eie (2000)

Revista Matemática Iberoamericana

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We shall develop the general theory of Jacobi forms of degree two over Cayley numbers and then construct a family of Jacobi- Eisenstein series which forms the orthogonal complement of the vector space of Jacobi cusp forms of degree two over Cayley numbers. The construction is based on a group representation arising from the transformation formula of a set of theta series.

Jacobi-Eisenstein series and p -adic interpolation of symmetric squares of cusp forms

Pavel I. Guerzhoy (1995)

Annales de l'institut Fourier

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The aim of this paper is to construct and calculate generating functions connected with special values of symmetric squares of modular forms. The Main Theorem establishes these generating functions to be Jacobi-Eisenstein series i.e. Eisenstein series among Jacobi forms. A theorem on p -adic interpolation of the special values of the symmetric square of a p -ordinary modular form is proved as a corollary of our Main Theorem.

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...