Jacobi forms and a certain space of modular forms.
Don Zagier, Nils-Peter Skoruppa (1988)
Inventiones mathematicae
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Don Zagier, Nils-Peter Skoruppa (1988)
Inventiones mathematicae
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Don Zagier (1991)
Inventiones mathematicae
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J. Hoffstein, D., Friedberg, S. Bump (1990)
Inventiones mathematicae
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Hidenori Katsurada, Hisa-aki Kawamura (2010)
Acta Arithmetica
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Takakazu Satoh (1989)
Mathematische Annalen
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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...
Nils-Peter Skoruppa (1990)
Journal für die reine und angewandte Mathematik
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Heim, Bernhard (2010)
International Journal of Mathematics and Mathematical Sciences
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Aloys Krieg (1986)
Mathematische Annalen
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Winfried Kohnen (1993)
Mathematische Zeitschrift
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Sander Zwegers (2010)
Acta Arithmetica
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W. Kohnen, N.-P. Skoruppa (1989)
Inventiones mathematicae
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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).
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...
Minking Eie (1991)
Mathematische Zeitschrift
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