Singular Holomorphic Representations and Singular Modular Forms.

Hans Plesner Jakobsen; Michael Harris

Displaying similar documents to “Singular Holomorphic Representations and Singular Modular Forms.”

Holomorphic Siegel Modular Forms Associated to SO(n, 1).

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On the Holomorphic Differential Forms of the Siegel Modular Variety II.

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Mock modular forms and singular combinatorial series

Amanda Folsom, Susie Kimport (2013)

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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...

On arbitrary products of eigenforms

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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.

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Shin-ichiro Mizumoto (1991)

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On Certain Vector Valued Siegel Modular Forms of Degree Two.

Takakazu Satoh (1986)

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Second moments of holomorphic Hilbert modular forms and subconvexity

Henry H. Kim (2011)

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The singular modular forms on the 27-dimensional exceptional domain.

Aloys Krieg (1997)

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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.