E. Wyman

activity

20242026

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math.AP2026

Polygons and multi-product of eigenfunctions

Emmett L. Wyman, Yakun Xi, Yi Zhang

Let $M$ be a compact Riemannian manifold without boundary, with $L^{2}$ -normalized Laplace-Beltrami eigenfunctions ${e_{j}}_{j}$ , which satisfy $I^_{g} e_{j} = - I^»_{j}^{2} e_{j}$ . We study the f…

math.AP2025

Kuznecov remainders and generic metrics

Vadim Kaloshin, Emmett L. Wyman, Yakun Xi

We obtain improved remainder estimates in the Kuznecov sum formula for period integrals of Laplace eigenfunctions on a Riemannian manifold $M$ . Building upon the two-term asymptoti…