Displaying similar documents to “Jacobi-Eisenstein series of degree two over Cayley numbers.”

Heegner cycles, modular forms and jacobi forms

Nils-Peter Skoruppa (1991)

Journal de théorie des nombres de Bordeaux

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We give a geometric interpretation of an arithmetic rule to generate explicit formulas for the Fourier coefficients of elliptic modular forms and their associated Jacobi forms. We discuss applications of these formulas and derive as an example a criterion similar to Tunnel's criterion for a number to be a congruent number.

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.

Cohen-Kuznetsov liftings of quasimodular forms

Min Ho Lee (2015)

Acta Arithmetica

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Jacobi-like forms for a discrete subgroup Γ of SL(2,ℝ) are formal power series which generalize Jacobi forms, and they correspond to certain sequences of modular forms for Γ. Given a modular form f, a Jacobi-like form can be constructed by using constant multiples of derivatives of f as coefficients, which is known as the Cohen-Kuznetsov lifting of f. We extend Cohen-Kuznetsov liftings to quasimodular forms by determining an explicit formula for a Jacobi-like form associated to a quasimodular...