Kloosterman paths and the shape of exponential sums

DOI10.1112/S0010437X16007351zbMath1419.11134arXiv1410.7892MaRDI QIDQ2816799

William F. Sawin, Emmanuel Kowalski

Publication date: 25 August 2016

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7892

zbMATH Keywords

Kloosterman sumsrandom Fourier seriesRiemann hypothesis over finite fieldsprobability in Banach spacesshort exponential sumsKloosterman sheaves

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Sample path properties (60G17) Exponential sums (11T23) Étale and other Grothendieck topologies and (co)homologies (14F20) Gauss and Kloosterman sums; generalizations (11L05) Functional limit theorems; invariance principles (60F17)

Related Items

On the size of the maximum of incomplete Kloosterman sums, On short sums of trace functions, Ultra-short sums of trace functions, Improved tail estimates for the distribution of quadratic Weyl sums, Distribution of Kloosterman paths to high prime power moduli, KLOOSTERMAN PATHS OF PRIME POWERS MODULI, II, Quadratic Weyl sums, automorphic functions and invariance principles, Gaussian distribution of short sums of trace functions over finite fields, ON THE DISTRIBUTION OF THE MAXIMUM OF CUBIC EXPONENTIAL SUMS, Large deviations of sums of random variables, Small values of Weyl sums, Unnamed Item, The distribution of the maximum of partial sums of Kloosterman sums and other trace functions

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