Holomorphic Siegel Modular Forms Associated to SO(n, 1).
Stephen S. Kudla (1981)
Mathematische Annalen
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Displaying similar documents to “The period function of the nonholomorphic Eisenstein series for .”
Holomorphic Siegel Modular Forms Associated to SO(n, 1).
The Rationality of Holomorphic Eisenstein Series.
Michael Harris (1981)
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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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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.
Automorphic -functions in the weight aspect.
Fomenko, O.M. (2004)
Zapiski Nauchnykh Seminarov POMI
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Correspondence among Eisenstein series ... .
Young Ju Choie (1997)
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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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Periods of integrals for
Stephen S. Kudla (1983)
Compositio Mathematica
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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.
Period invariants of Hilbert modular forms, II
Michael Harris (1994)
Compositio Mathematica
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Eisenstein series and Poincaré series for mixed automorphic forms.
Min Ho Lee (2000)
Collectanea Mathematica
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Mixed automorphic forms generalize elliptic modular forms, and they occur naturally as holomorphic forms of the highest degree on families of abelian varieties parametrized by a Riemann surface. We construct generalized Eisenstein series and Poincaré series, and prove that they are mixed automorphic forms.
Eisenstein series for Siegel modular groups.
Shin-ichiro Mizumoto (1993)
Mathematische Annalen
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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...