Corpus ID: 235435708

Equidistribution theorems for holomorphic Siegel cusp forms of general degree: the level aspect

@inproceedings{Kim2021EquidistributionTF,
  title={Equidistribution theorems for holomorphic Siegel cusp forms of general degree: the level aspect},
  author={Henry H. Kim and Satoshi Wakatsuki and Takuya Yamauchi},
  year={2021}
}
This paper is an extension of [26] and we prove equidistribution theorems for families of holomorphic Siegel cusp forms of general degree in the level aspect. Our main contribution is to estimate unipotent contributions for general degree in the geometric side of Arthur’s invariant trace formula in terms of Shintani zeta functions in a uniform way. Several applications including the vertical Sato-Tate theorem and low-lying zeros for standard L-functions of holomorphic Siegel cusp forms are… Expand
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