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On the distribution of Satake parameters...
Knightly, Andrew...
On the distribution of Satake parameters for Siegel modular forms by Knightly, Andrew ( Author )
Australian National University
08-08-2023
We prove a harmonically weighted equidistribution result for the $p$-th Satake parameters of the family of automorphic cuspidal representations of $\operatorname{PGSp}(2n)$ of fixed weight $\mathtt{k}$ and prime-to-$p$ level $N\to \infty$. The main tool is a new asymptotic Petersson formula for $\operatorname{GSp}(2n)$ in the level aspect.
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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1605.03792
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