PreprintCC BY 4.0arXiv
Explicit second moments of symplectic Siegel transforms
Abstract
We give two alternate formulations for the second moment formula of the Siegel transform over Sp(2n, ℤ) backslash Sp(2n,ℝ), previously established by Athreya-Konstantoulas and Kelmer-Yu. We also provide several applications that demonstrate their usefulness.
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BibTeX
@misc{holm2026explicit,
title = {{Explicit second moments of symplectic Siegel transforms}},
author = {Kristian Holm and Seungki Kim},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03499},
eprint = {2610.03499},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03499},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Explicit second moments of symplectic Siegel transforms
AU - Kristian Holm
AU - Seungki Kim
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.03499
UR - https://arxiv.org/abs/2610.03499
AB - We give two alternate formulations for the second moment formula of the Siegel transform over Sp(2n, ℤ) backslash Sp(2n,ℝ), previously established by Athreya-Konstantoulas and Kelmer-Yu. We also provide several applications that demonstrate their usefulness.
ER -