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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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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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SIEGEL CUSP MODULAR FORMS AND COHOMOLOGY
Mathematics of the USSR-Izvestiya, 1987A 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 Structure and Slopes of Drinfeld Cusp Forms
Experimental Mathematics, 2022Andrea Bandini, Maria Valentino
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Congruences for dimensions of spaces of Siegel cusp forms and 4-core partitions
Ramanujan Journal, 2021Chiranjit Ray, Manami Roy, Shaoyun Yi
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General asymptotic formula of Fourier coefficients of cusp forms over sum of two squares
Journal of Number Theory, 2022exaly
On the interlacing of the zeros of certain Poincaré cusp forms
Journal of Mathematical Analysis and Applications, 2023exaly
On the gaps in the Fourier expansion of cusp forms
Ramanujan Journal, 2008Emre Alkan, Alexandru Zaharescu
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Quadratic forms connected with Fourier coefficients of Maass cusp forms
Frontiers of Mathematics in China, 2015Liqun Hu
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Congruences modulo 2 for dimensions of spaces of cusp forms
Journal of Number Theory, 2014Satoshi Wakatsuki
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