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Matrix Kloosterman sums modulo prime powers

Published 16 Sep 2022 in math.NT | (2209.08021v3)

Abstract: We give optimal bounds for matrix Kloosterman sums modulo prime powers extending earlier work of the first two authors on the case of prime moduli. These exponential sums arise in the theory of the horocyclic flow on $\mathrm{GL}_n$.

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