Spherical functions of symmetric forms and a conjecture of Hironaka
Number Theory
2026-02-11 v2 Representation Theory
Abstract
For all we verify the following conjecture of Hironaka: for a -adic field with odd, the space of spherical functions of is free of rank over the Hecke algebra.
Cite
@article{arxiv.2311.00147,
title = {Spherical functions of symmetric forms and a conjecture of Hironaka},
author = {Murilo Corato-Zanarella},
journal= {arXiv preprint arXiv:2311.00147},
year = {2026}
}