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arXiv · 2607.14261

Refinements to the Kuznetsov Formula for Laplace-Beltrami Operators

Merrick Chang
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Abstract

Wyman and Xi (2023) proved a Kuznetsov-type theorem for the submanifold counting function associated with Laplace--Beltrami eigenvalues. We refine the results of Wyman and Xi, improving their asymptotic: we remove a constant in the codimension-one case, and we prove a new asymptotic in the case that the set of looping times has measure zero.

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Merrick Chang. 2026-07-15. Refinements to the Kuznetsov Formula for Laplace-Beltrami Operators. https://arxiv.org/abs/2607.14261

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