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Matrix Kloosterman sums

Márton Erdélyi and Árpád Tóth

Vol. 18 (2024), No. 12, 2247–2308
Abstract

We study a family of exponential sums that arises in the study of expanding horospheres on GL n. We prove an explicit version of general purity and find optimal bounds for these sums.

Keywords
Kloosterman sums, estimates for exponential sums
Mathematical Subject Classification
Primary: 11L05
Secondary: 11L07, 20G40
Milestones
Received: 17 March 2023
Revised: 30 October 2023
Accepted: 18 December 2023
Published: 21 October 2024
Authors
Márton Erdélyi
Department of Algebra and Geometry
Budapest University of Technology and Economics
Budapest
Hungary
Árpád Tóth
Department of Analysis
Eötvös Loránd University
Budapest
Hungary

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