On the Sato-Tate conjecture for Kloosterman sums

DOI10.1007/BF01884290zbMath0844.11055OpenAlexW3136460466WikidataQ122984466 ScholiaQ122984466MaRDI QIDQ1895697

Philippe Michel

Publication date: 29 August 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144291

zbMATH Keywords

Kloosterman sumdistribution functionSato-Tate conjecturealmost-primesestimates for multiple exponential sumsSato-Tate distributionsieve identity of Buchstab type

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Gauss and Kloosterman sums; generalizations (11L05) Applications of sieve methods (11N36)

Related Items (13)

Gaussian distributions of Kloosterman sums: vertical and horizontal ⋮ Kloosterman sums do not correlate with periodic functions ⋮ Bilinear forms with trace functions over arbitrary sets and applications to Sato-Tate ⋮ Lectures on applied ℓ-adic cohomology ⋮ Fourier coefficients of \(\mathrm{GL}(N)\) automorphic forms in arithmetic progressions ⋮ Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions ⋮ On the Sato-Tate conjecture for Kloosterman sums. II. ⋮ Lower bounds of exponential sums ⋮ On the pseudorandomness of the signs of Kloosterman sums ⋮ À la recherche de petites sommes d'exponentielles. (In search of small exponential sums) ⋮ Algebraic trace functions over the primes ⋮ When Kloosterman sums meet Hecke eigenvalues ⋮ Sign changes of Kloosterman sums with almost prime moduli

Cites Work

• On a theorem of Bombieri–Vinogradov type

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