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math.NT2026
On Jacobi sums arising from the classical doubling method
Calvin Yost-Wolff, Elad Zelingher
We define the notion of a non-abelian Jacobi sum attached to an irreducible representation of a general linear group or a class…
math.NT2026
On exotic matrix exponential sums and Bessel-Speh functions
Elad Zelingher
In a previous work with Carmon, we defined Bessel--Speh functions. These are matrix coefficients of irreducible Speh representations of , where $\math…
math.NT2025
On matrix Kloosterman sums and Hall-Littlewood polynomials
Elad Zelingher
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 twiste…