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arXiv · 2312.13121

On matrix Kloosterman sums and Hall-Littlewood polynomials

Elad Zelingher
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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.

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Elad Zelingher. 2023-12-20. On matrix Kloosterman sums and Hall-Littlewood polynomials. https://doi.org/10.1090/tran%2F9363

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