On short sums of trace functions

DOI10.5802/aif.3087zbMath1392.11060arXiv1508.00512OpenAlexW2963346047MaRDI QIDQ1687871

Kannan Soundararajan, Emmanuel Kowalski, Étienne Fouvry, Chandra Sekhar Raju, Joël Rivat, Philippe Michel

Publication date: 4 January 2018

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00512

zbMATH Keywords

van der Corput lemmaRiemann hypothesis over finite fieldstrace functionscompletion methodshort exponential sums

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (19)

Cancellation in algebraic twisted sums on \(\operatorname{GL}_m\) ⋮ Möbius cancellation on polynomial sequences and the quadratic Bateman-Horn conjecture over function fields ⋮ On the size of the maximum of incomplete Kloosterman sums ⋮ Gaussian distributions of Kloosterman sums: vertical and horizontal ⋮ Ultra-short sums of trace functions ⋮ On the distribution of modular inverses from short intervals ⋮ A note on the cancellations of sums involving Hecke eigenvalues ⋮ On sums of Kloosterman and Gauss sums ⋮ ON THE DISTRIBUTION OF THE MAXIMUM OF CUBIC EXPONENTIAL SUMS ⋮ Lectures on applied ℓ-adic cohomology ⋮ The Chebotarev density theorem for function fields -- incomplete intervals ⋮ On superorthogonality ⋮ PERIODIC TWISTS OF -AUTOMORPHIC FORMS ⋮ Sums of algebraic trace functions twisted by arithmetic functions ⋮ Cancellations amongst Kloosterman sums ⋮ Arithmetic exponent pairs for algebraic trace functions and applications ⋮ The distribution of the maximum of partial sums of Kloosterman sums and other trace functions ⋮ Stratification and averaging for exponential sums: bilinear forms with generalized Kloosterman sums ⋮ Equidistribution of Fourier coefficients of integral weight Maass-Poincaré series

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