Results 241 to 250 of about 78,398 (277)

Cusp forms

Israel Journal of Mathematics, 1992
Die Arbeit befaßt sich mit Poincaréreihen \(P_ f(g)= \sum_{H\cap \Gamma\setminus\Gamma} f(\gamma g)\) für arithmetische Untergruppen \(\Gamma\) halbeinfacher reeller, über \(\mathbb{Q}\) definierter Gruppen \(G\); dabei ist \(H\) Untergruppe der Fixpunkte einer Involution in \(G\).
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On overconvergent Hilbert modular cusp forms [PDF]

Astérisque, 2018
We p-adically interpolate modular invertible sheaves over a strict neighborhood of the ordinary locus of an Hilbert modular variety. We then prove the existence of finite slope families of cuspidal eigenforms.
ANDREATTA, FABRIZIO, IOVITA, ADRIAN, Pilloni, Vincent   +2 more
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SHIMURA INTEGRALS OF CUSP FORMS

Mathematics of the USSR-Izvestiya, 1981
This paper studies integrals of the form on the upper half-plane, where is a rational number, is integral, and is a cusp form of weight with respect to some modular group . The main result is that if is a congruence subgroup and is an eigenvector of all the Hecke operators, then all these integrals are representable as linear combinations of two
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Mellin Transforms of Mixed Cusp Forms

Canadian Mathematical Bulletin, 1999
AbstractWe define generalized Mellin transforms of mixed cusp forms, show their convergence, and prove that the function obtained by such a Mellin transform of a mixed cusp form satisfies a certain functional equation. We also prove that a mixed cusp form can be identified with a holomorphic form of the highest degree on an elliptic variety.
Choie, YJ, Lee, MH
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Cusp Forms Like Δ

Canadian Mathematical Bulletin, 2009
AbstractLetfbe a square-free integer and denote by Γ0(f)+the normalizer of Γ0(f) in SL(2, ℝ). We find the analogues of the cusp form Δ for the groups Γ0(f)+.
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Congruences between cusp forms

1995
NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. In this thesis we study the ring of modular deformations of an absolutely irreducible mod p representation which is modular by studying the congruences between new- forms of weight 2 and varying p power levels.
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Cusp forms for character varieties

Geometric and Functional Analysis, 1994
The trace formula of Selberg for a cofinite but not cocompact discrete group \(\Gamma\) acting on the upper half plane \({\mathcal H}\) implies that \(N_ c(R) + M(R) \sim \text{vol} (\Gamma \backslash {\mathcal H}) R^ 2/4 \pi\) as \(R \to \infty\).
Phillips, R., Sarnak, P.
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SIEGEL CUSP MODULAR FORMS AND COHOMOLOGY

Mathematics of the USSR-Izvestiya, 1987
A famous result in the classical theory of modular forms is the theorem of Eichler-Shimura [see e.g. \textit{G. Shimura}, J. Math. Soc. Japan 11, 291-311 (1959; Zbl 0090.055)]. It gives a relation between the space of cusp forms (for a Fuchsian group \(\Gamma\) of the first kind) and the cohomology of \(\Gamma\).
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On the Lifting of Elliptic Cusp Forms to Siegel Cusp Forms of Degree 2n

The Annals of Mathematics, 2001
In this beautiful paper, the author generalizes the Saito-Kurokawa lifting to higher degrees. Let \(f(\tau)\in S_{2k}(SL_{2}(\mathbb{Z}))\) be a normalized Hecke eigenform. W. Duke and Ö. Imamoglu conjectured that if \(k\equiv n\) mod 2, then there exists a Hecke eigenform \(F(Z)\in S_{k+n}(Sp_{2n}(\mathbb{Z}))\) of degree \(2n\), whose standard \(L ...
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Fourier coefficients of cusp forms associated to mixed cusp forms

1998
Summary: The authors construct a cusp form \({\mathcal L}^*_g(f)\) of weight \(m\) for a congruence subgroup of \(SL(2,\mathbb{R})\) associated to mixed cusp forms \(f,g\) of types \((l+m,k)\), \((l,k)\), respectively, and express the Fourier coefficients of \({\mathcal L}^*_g(f)\) in terms of the Fourier coefficients of \(f\) and \(g\).
Suh, DY Suh, Dong-Youp, Lee, MH Lee, Min-Ho   +1 more
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