Estimates on polynomial exponential sums

DOI10.1007/s11856-010-0027-8zbMath1205.11094OpenAlexW2058855731MaRDI QIDQ980502

Jean Bourgain

Publication date: 29 June 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-010-0027-8

zbMATH Keywords

exponential sumpolynomialcomposite moduli

Mathematics Subject Classification ID

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

Related Items (5)

Modular hyperbolas ⋮ Generalized polynomial exponential sums and their fourth power mean ⋮ Multilinear exponential sums with a general class of weights ⋮ Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields ⋮ Noisy polynomial interpolation modulo prime powers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multilinear exponential sums in prime fields under optimal entropy condition on the sources
• On exponential sums with sparse polynomials and rational functions
• On upper bounds of Chalk and Hua for exponential sums
• Carmichael's lambda function
• BOUNDS ON EXPONENTIAL SUMS AND THE POLYNOMIAL WARING PROBLEM MOD p
• Sparse polynomial exponential sums
• Mordell’s exponential sum estimate revisited
• Some remarks on Gauss sums associated with kth powers
• ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER

This page was built for publication: Estimates on polynomial exponential sums