Cancellations amongst Kloosterman sums

DOI10.4064/aa8365-6-2016zbMath1368.11092arXiv1601.05123OpenAlexW2963613858MaRDI QIDQ2833614

Tian-Ping Zhang, Igor E. Shparlinski

Publication date: 18 November 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05123

zbMATH Keywords

cancellationKloosterman sumsbilinear form

Mathematics Subject Classification ID

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

Related Items (24)

Some applications of smooth bilinear forms with Kloosterman sums ⋮ Asymptotic identities for additive convolutions of sums of divisors ⋮ Non-commutative methods in additive combinatorics and number theory ⋮ Bilinear sums of Gauss sums ⋮ Congruences with intervals and arbitrary sets ⋮ Trilinear forms with double Kloosterman sums ⋮ On the error term in a mixed moment of L‐functions ⋮ The fourth moment of Dirichlet \(L\)-functions along the critical line ⋮ The fourth moment of Dirichlet \(L\)-functions at the central value ⋮ Double exponential sums with exponential functions ⋮ Identities of general Kloosterman sums ⋮ Bounds on bilinear forms with Kloosterman sums ⋮ Chowla and Sarnak conjectures for Kloosterman sums ⋮ Bilinear forms with Kloosterman and Gauss sums in function fields ⋮ Bilinear forms with exponential sums with binomials ⋮ CANCELLATIONS BETWEEN KLOOSTERMAN SUMS MODULO A PRIME POWER WITH PRIME ARGUMENTS ⋮ Modular hyperbolas and bilinear forms of Kloosterman sums ⋮ On sums of Kloosterman and Gauss sums ⋮ Double sums of Kloosterman sums in finite fields ⋮ Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions ⋮ Sums of algebraic trace functions twisted by arithmetic functions ⋮ Bounds on average values of double incomplete Kloosterman sums ⋮ Mollification of the fourth moment of Dirichlet $L$-functions ⋮ Bounds on bilinear sums of Kloosterman sums

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• ON BILINEAR EXPONENTIAL AND CHARACTER SUMS WITH RECIPROCALS OF POLYNOMIALS
• THE DIVISOR FUNCTION IN ARITHMETIC PROGRESSIONS MODULO PRIME POWERS
• Partial Gaussian Sums
• On the pseudorandomness of the signs of Kloosterman sums
• Burgess bounds for short mixed character sums
• Burgess bounds for multi-dimensional short mixed character sums

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