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arXiv · 2610.03499

Explicit second moments of symplectic Siegel transforms

Kristian Holm·Seungki Kim
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Abstract

We give two alternate formulations for the second moment formula of the Siegel transform over $\mathrm{Sp}(2n, \mathbb{Z}) \backslash \mathrm{Sp}(2n,\mathbb{R})$, originally established by Kelmer and Yu. We also provide several applications that demonstrate their usefulness.

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Kristian Holm, Seungki Kim. 2026-10-02. Explicit second moments of symplectic Siegel transforms. https://arxiv.org/abs/2610.03499

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