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arXiv · 2312.01976

Calogero-Moser eigenfunctions modulo $p^s$

Alexander Gorsky·Alexander Varchenko
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Abstract

In this note we use the Matsuo-Cherednik duality between the solutions to KZ equations and eigenfunctions of Calogero-Moser Hamiltonians to get the polynomial $p^s$-truncation of the Calogero-Moser eigenfunctions at a rational coupling constant. The truncation procedure uses the integral representation for the hypergeometric solutions to KZ equations. The $s\rightarrow \infty$ limit to the pure $p$-adic case has been analyzed in the $n=2$ case

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Alexander Gorsky, Alexander Varchenko. 2023-12-04. Calogero-Moser eigenfunctions modulo $p^s$. https://arxiv.org/abs/2312.01976

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