Jacobi forms and a certain space of modular forms.
Don Zagier, Nils-Peter Skoruppa (1988)
Inventiones mathematicae
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Displaying similar documents to “Explicit formulas for the Fourier coefficients of Jacobi and elliptic modular forms.”
Jacobi forms and a certain space of modular forms.
Periods of modular forms and Jacobi theta functions.
Don Zagier (1991)
Inventiones mathematicae
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Nonvanishing theorems for L-functions of modular forms and their derivatives.
J. Hoffstein, D., Friedberg, S. Bump (1990)
Inventiones mathematicae
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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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Jacobi forms and certain special values of Dirichlet series associated to modular form.
Takakazu Satoh (1989)
Mathematische Annalen
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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...
Binary quadratic forms and the Fourier coefficients of elliptic and Jacobi modular forms.
Nils-Peter Skoruppa (1990)
Journal für die reine und angewandte Mathematik
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On the spezialschar of Maass.
Heim, Bernhard (2010)
International Journal of Mathematics and Mathematical Sciences
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The Maaß-Space on the Half-Space of Quaternions of Degree 2.
Aloys Krieg (1986)
Mathematische Annalen
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Class numbers, Jacobi forms and Siegel-Eisenstein series of weight 2 on Sp2.
Winfried Kohnen (1993)
Mathematische Zeitschrift
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Rank-Crank type PDE's for higher level Appell functions
Sander Zwegers (2010)
Acta Arithmetica
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A certain Dirichlet series attached to Siegel modular forms of degree two.
W. Kohnen, N.-P. Skoruppa (1989)
Inventiones mathematicae
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Constructing modular forms from harmonic Maass Jacobi forms
Ran Xiong, Haigang Zhou (2021)
Czechoslovak Mathematical Journal
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We construct a family of modular forms from harmonic Maass Jacobi forms by considering their Taylor expansion and using the method of holomorphic projection. As an application we present a certain type Hurwitz class relations which can be viewed as a generalization of Mertens' result in M. H. Mertens (2016).
Asymptotic formulas for the coefficients of certain automorphic functions
Jaban Meher, Karam Deo Shankhadhar (2015)
Acta Arithmetica
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We derive asymptotic formulas for the coefficients of certain classes of weakly holomorphic Jacobi forms and weakly holomorphic modular forms (not necessarily of integral weight) without using the circle method. Then two applications of these formulas are given. Namely, we estimate the growth of the Fourier coefficients of two important weak Jacobi forms of index 1 and non-positive weights and obtain an asymptotic formula for the Fourier coefficients of the modular functions for all...