Matrix Kloosterman sums modulo prime powers

Author:

Erdélyi M.,Tóth Á.,Zábrádi G.

Abstract

AbstractWe 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 $$GL_n$$ G L n .

Funder

Eötvös Loránd University

Publisher

Springer Science and Business Media LLC

Reference18 articles.

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3. Dabrowski, R., Fisher, B.: A stationary phase formula for exponential sums over $$\mathbb{Z} /p^{m} \mathbb{Z} $$ and applications to $$GL (3)$$-Kloosterman sums. Acta Arith. 80(1), 1–48 (1997)

4. Duan, G.-R.: Generalized Sylvester equations: unified parametric solutions. CRC Press (2019)

5. El Baz, D., Min, L., Andreas, S.: Effective equidistribution of rational points on expanding horospheres. arXiv:2212.07408

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