Results 231 to 240 of about 7,499 (259)

The Philosophy of Cusp Forms

2004
There are four theories that deserve to be studied in parallel. These are: The representation theory of symmetric groups S k ; The representation theory of \(\mathrm{GL}(k, \mathbb{F}_{q});\) The representation theory of GL(k, F) where F is a local field; The theory of automorphic forms on GL(k).
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Disappearance of Cusp Forms in Special Families

The Annals of Mathematics, 1994
Real analytic cusp forms and Eisenstein series of weight zero are the automorphic forms occurring in the spectral decomposition of the Laplace operator on quotients of the upper half plane \({\mathcal H}\) by cofinite discrete groups. These quotients are Riemann surfaces with a hyperbolic structure.
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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 Cusp form Coefficients in Exponential Sums

The Quarterly Journal of Mathematics, 2001
Let \(f(z)\) be a holomorphic cusp form of weight \(k\) for \(SL_{2}(\mathbb Z)\), and \(e(t)=e^{2 \pi i t}\). The function \(f(z)\) has a Fourier expansion \(f(z)= \sum_{n=1}^{\infty} a(n) n^{(k-1)/2}e(nz),\) where \(a(n) \ll n^{\varepsilon}\) for any \(\varepsilon > 0\), due to Deligne.
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On the Structure and Slopes of Drinfeld Cusp Forms

Experimental Mathematics, 2022
Andrea Bandini, Maria Valentino
exaly  

On the interlacing of the zeros of certain Poincaré cusp forms

Journal of Mathematical Analysis and Applications, 2023
Ekata Saha
exaly  

Congruences for dimensions of spaces of Siegel cusp forms and 4-core partitions

Ramanujan Journal, 2021
Chiranjit Ray, Manami Roy, Shaoyun Yi
exaly  

General asymptotic formula of Fourier coefficients of cusp forms over sum of two squares

Journal of Number Theory, 2022
exaly  

Cusp Forms and Poincare Series

American Journal of Mathematics, 1968
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On the gaps in the Fourier expansion of cusp forms

Ramanujan Journal, 2008
Emre Alkan, Alexandru Zaharescu
exaly