Holomorphic Siegel Modular Forms Associated to SO(n, 1).
Stephen S. Kudla (1981)
Mathematische Annalen
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Displaying similar documents to “On the Holomorphic Differential Forms of the Siegel Modular Variety II.”
Holomorphic Siegel Modular Forms Associated to SO(n, 1).
Poles and resiudues of standard L-functions attached to Siegel modular forms.
Shin-ichiro Mizumoto (1991)
Mathematische Annalen
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Linear relations between modular forms for Г 0 + (p)
SoYoung Choi, Chang Heon Kim (2015)
Open Mathematics
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We find linear relations among the Fourier coefficients of modular forms for the group Г0+(p) of genus zero. As an application of these linear relations, we derive congruence relations satisfied by the Fourier coefficients of normalized Hecke eigenforms.
On arbitrary products of eigenforms
Arvind Kumar, Jaban Meher (2016)
Acta Arithmetica
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We characterize all the cases in which products of arbitrary numbers of nearly holomorphic eigenforms and products of arbitrary numbers of quasimodular eigenforms for the full modular group SL₂(ℤ) are again eigenforms.
On Certain Vector Valued Siegel Modular Forms of Degree Two.
Takakazu Satoh (1986)
Mathematische Annalen
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Second moments of holomorphic Hilbert modular forms and subconvexity
Henry H. Kim (2011)
Acta Arithmetica
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Singular Holomorphic Representations and Singular Modular Forms.
Hans Plesner Jakobsen, Michael Harris (1982)
Mathematische Annalen
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A basis for the space of modular forms
Shinji Fukuhara (2012)
Acta Arithmetica
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A decomposition of the space of higher order modular cusp forms
Karen Taylor (2012)
Acta Arithmetica
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Second order modular forms
G. Chinta, N. Diamantis (2002)
Acta Arithmetica
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Mock modular forms and singular combinatorial series
Amanda Folsom, Susie Kimport (2013)
Acta Arithmetica
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A celebrated result of Bringmann and Ono shows that the combinatorial rank generating function exhibits automorphic properties after being completed by the addition of a non-holomorphic integral. Since then, automorphic properties of various related combinatorial families have been studied. Here, extending work of Andrews and Bringmann, we study general infinite families of combinatorial q-series pertaining to k-marked Durfee symbols, in which we allow additional singularities. We show...
Siegel Cusp Forms as Holomorphic Differential Forms on Certain Compact Varieties.
Kazuyuki Hatada (1983)
Mathematische Annalen
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Nonvanishing of Siegel-Poincaré series II
Soumya Das, Winfried Kohnen, Jyoti Sengupta (2012)
Acta Arithmetica
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On the Fourier coefficients of Hilbert-Siegel modular forms.
Sunder Sal (1965)
Mathematische Zeitschrift
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Shimura lifting on weak Maass forms
Youngju Choie, Subong Lim (2016)
Acta Arithmetica
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There is a Shimura lifting which sends cusp forms of a half-integral weight to holomorphic modular forms of an even integral weight. Niwa and Cipra studied this lifting using the theta series attached to an indefinite quadratic form; later, Borcherds and Bruinier extended this lifting to weakly holomorphic modular forms and harmonic weak Maass forms of weight 1/2, respectively. We apply Niwa's theta kernel to weak Maass forms by using a regularized integral. We show that the lifted function...