On matrix Kloosterman sums and Hall-Littlewood polynomials
Number Theory
2025-01-03 v4 Representation Theory
Abstract
We prove an identity relating twisted matrix Kloosterman sums to modified Hall-Littlewood polynomials evaluated at the roots of the characteristic polynomial associated to a twisted Kloosterman sheaf. This solves a conjecture of Erd\'elyi and T\'oth.
Keywords
Cite
@article{arxiv.2312.13121,
title = {On matrix Kloosterman sums and Hall-Littlewood polynomials},
author = {Elad Zelingher},
journal= {arXiv preprint arXiv:2312.13121},
year = {2025}
}
Comments
25 Pages, comments are welcome. v4: This version contains all changes that were made for submission in Transactions of the AMS