Results 151 to 160 of about 1,658 (186)

The Eisenstein Series

1973
Let ω1,ω2 be two complex numbers, different from zero, such that the quotient t =ω2/ω1 is not real. The totality Ω of all complex numbers m1ω1 + m2ω2 with m1m2 integers, forms a point-lattice in the complex plane.
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Eisenstein Series and Partition Functions

Mathematical Methods in the Applied Sciences
ABSTRACTIn this work, using quotients of Dedekind eta functions of weight , we express certain Eisenstein series associated with congruence subgroups , of arbitrary weight. We then obtain new Ramanujan type identities on partition functions associated with certain eta quotients.
Sofiane Abdelhamid Atmani, Abdelmejid Bayad, Daeyeoul Kim   +2 more
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On Some Metaplectic Eisenstein Series

Journal of Mathematical Sciences, 2002
The author uses methods developed by N. V. Proskurin to study a certain class of metaplectic Eisenstein series on a suitable subgroup of \(\text{Sp}_4 (\mathbb{Z}[\omega])\) where \(\omega= e^{2\pi i/3}\). Whereas Proskurin studied those Eisenstein series that are either associated with a minimal parabolic subgroup or with a metaplectic theta function ...
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Eisenstein Series on Shimura Varieties

The Annals of Mathematics, 1984
In a previous paper [Invent. Math. 63, 305--310 (1981; Zbl 0452.10031)] the author proved rationality properties of the Fourier coefficients of holomorphic Eisenstein series attached to cusp forms on boundary components of Siegel's upper half plane of degree \(n\). The proof -- which did not use any explicit knowledge of the Fourier coefficients -- was
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Eisenstein series on the symplectic group

Journal of Soviet Mathematics, 1977
Analytic continuation is proved for certain Eisenstein series on the symplectic group which are associated with nonparabolic forms. In the case of the full modular group an explicit functional equation is obtained, and the singularities of the series are completely described.
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Eisenstein Series

2012
Xueli Wang, Dingyi Pei
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p-adic Siegel–Eisenstein series of degree two

Journal of Number Theory, 2012
Sho Takemori
exaly  

Eisenstein series

1991
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The rationality of holomorphic Eisenstein series

Inventiones Mathematicae, 1981
Michael Harris, Harris Michael
exaly  

Eisenstein series of 1/2-integral weight and the mean value of real DirichletL-series

Inventiones Mathematicae, 1985
Jeffrey Hoffstein, Dorian Goldfeld
exaly