Corpus ID: 19681852

On the distribution of Satake parameters for Siegel modular forms

@article{Knightly2016OnTD,
  title={On the distribution of Satake parameters for Siegel modular forms},
  author={Andrew H. Knightly and Charles Li},
  journal={arXiv: Number Theory},
  year={2016}
}
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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Correction to: On Fourier coefficients of Siegel modular forms of degree two with respect to congruence subgroups

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