Shimura lifting on weak Maass forms

Youngju Choie; Subong Lim

Displaying similar documents to “Shimura lifting on weak Maass forms”

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.

A basis for the space of modular forms

Shinji Fukuhara (2012)

Acta Arithmetica

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Second order modular forms

G. Chinta, N. Diamantis (2002)

Acta Arithmetica

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On the Dimensions of Spaces of Siegel Modular Forms of Weight One.

J.-S. Li (1996)

Geometric and functional analysis

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A decomposition of the space of higher order modular cusp forms

Karen Taylor (2012)

Acta Arithmetica

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Modular Forms of Half-Integral Weight on ...0(4).

Winfried Kohnen (1980)

Mathematische Annalen

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On Siegel modular forms obtained form theta series.

Hiroyuki Yoshida (1984)

Journal für die reine und angewandte Mathematik

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Construction of half integral weight Siegel modular forms of Sp (2, R) from automorphic forms of the compact twist Sp (2).

Tomoyoshi Ibukiyama (1985)

Journal für die reine und angewandte Mathematik

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

Riccardo Salvati Manni (1990)

Mathematische Zeitschrift

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Quasimodular forms and Poincaré series

Min Ho Lee (2009)

Acta Arithmetica

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Poles and resiudues of standard L-functions attached to Siegel modular forms.

Shin-ichiro Mizumoto (1991)

Mathematische Annalen

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

Stephen S. Kudla (1981)

Mathematische Annalen

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Bessel functionals and Siegel modular forms

Rainer Schulze-Pillot (1995)

Journal de théorie des nombres de Bordeaux

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Siegel's Modular Forms and the Arithmetic of Quadratic Forms.

Hiroyuki Yoshida (1980)

Inventiones mathematicae

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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...