Matrix Kloosterman sums

Márton Erdélyi; Árpád Tóth

doi:10.2140/ant.2024.18.2247

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arXiv · 2109.00762

Matrix Kloosterman sums

Márton Erdélyi·Árpád Tóth

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Abstract

We study a family of exponential sums that arises in the study of the horocyclic flow on $\mathrm{GL}_n$. We prove an explicit version of general purity and find optimal bounds for these sums.

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Márton Erdélyi, Árpád Tóth. 2024-01-09. Matrix Kloosterman sums. https://doi.org/10.2140/ant.2024.18.2247

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