Gaussian distribution of short sums of trace functions over finite fields

DOI10.1017/S0305004117000020zbMath1405.11102arXiv1609.09334OpenAlexW2525333055MaRDI QIDQ5372072

Corentin Perret-Gentil

Publication date: 24 October 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.09334

zbMATH Keywords

Gaussian distribution\(\ell\)-adic trace functionsBirch sums

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Exponential sums (11T23) Other character sums and Gauss sums (11T24) Estimates on character sums (11L40) Sums over arbitrary intervals (11L26)

Related Items

Exponential Sums, Twisted Multiplicativity, and Moments ⋮ On the size of the maximum of incomplete Kloosterman sums ⋮ Ultra-short sums of trace functions ⋮ Roots of \(L\)-functions of characters over function fields, generic linear independence and biases ⋮ Gaussian distribution of short sums of trace functions over finite fields ⋮ ON THE DISTRIBUTION OF THE MAXIMUM OF CUBIC EXPONENTIAL SUMS ⋮ Distribution questions for trace functions with values in cyclotomic integers and their reductions ⋮ Large deviations of sums of random variables ⋮ Squarefree Integers in Arithmetic Progressions to Smooth Moduli ⋮ Distribution of short sums of classical Kloosterman sums of prime powers moduli ⋮ The distribution of the maximum of partial sums of Kloosterman sums and other trace functions

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