On the Fourier expansions of Jacobi forms.

Skogman, Howard

Displaying similar documents to “On the Fourier expansions of Jacobi forms.”

On the Andrianov-type identity for power series attached to Jacobi forms and its application

Hidenori Katsurada, Hisa-aki Kawamura (2010)

Acta Arithmetica

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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...

Class numbers, Jacobi forms and Siegel-Eisenstein series of weight 2 on Sp2.

Winfried Kohnen (1993)

Mathematische Zeitschrift

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On the Fourier expansions of Jacobi forms of half-integral weight.

Ramakrishnan, B., Sahu, Brundaban (2006)

International Journal of Mathematics and Mathematical Sciences

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Construction of Jacobi forms.

Y.J. Choie, Hyunkwang Kim, M. Knopp (1995)

Mathematische Zeitschrift

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Periods of modular forms and Jacobi theta functions.

Don Zagier (1991)

Inventiones mathematicae

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On Poincaré series on Spm.

Andrzej Dabrowski (1996)

Mathematische Zeitschrift

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L-functions for Jacobi forms à la Hecke.

Rolf Berndt (1994)

Manuscripta mathematica

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Jacobi Forms and Discrete Series Representations of the Jacobi Group.

Rolf BERNDT, Siegfried Böcherer (1990)

Mathematische Zeitschrift

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A decomposition theorem for Jacobi forms.

Joachim Dulinski (1995)

Mathematische Annalen

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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.

Construction of the lowest-order recurrence relation for the Jacobi coefficients

S. Lewanowicz (1983)

Applicationes Mathematicae

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GO++: A modular Lagrangian/Eulerian software for Hamilton Jacobi equations of geometric optics type

Jean-David Benamou, Philippe Hoch (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We describe both the classical Lagrangian and the Eulerian methods for first order Hamilton–Jacobi equations of geometric optic type. We then explain the basic structure of the software and how new solvers/models can be added to it. A selection of numerical examples are presented.