ON THE DISTRIBUTION OF THE MAXIMUM OF CUBIC EXPONENTIAL SUMS

DOI10.1017/S1474748018000385zbMath1468.11165arXiv1802.09701OpenAlexW2788590063WikidataQ115562687 ScholiaQ115562687MaRDI QIDQ3295457

Youness Lamzouri

Publication date: 10 July 2020

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.09701

zbMATH Keywords

exponential sumsRiemann hypothesis over finite fieldsSato-Tate distribution1-adic trace functionsBirch sums

Mathematics Subject Classification ID

Large deviations (60F10) Exponential sums (11T23) Étale and other Grothendieck topologies and (co)homologies (14F20) Trigonometric and exponential sums (general theory) (11L03)

Related Items (3)

On the size of the maximum of incomplete Kloosterman sums ⋮ Large deviations of sums of random variables ⋮ The distribution of the maximum of partial sums of Kloosterman sums and other trace functions

Cites Work

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• Gaussian distribution of short sums of trace functions over finite fields
• How the Number of Points of An Elliptic Curve Over a Fixed Prime Field Varies
• Colloquium De Giorgi 2013 and 2014
• Exponential sums with multiplicative coefficients

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