MULTIPLE EXPONENTIAL AND CHARACTER SUMS WITH MONOMIALS

DOI10.1112/S0025579314000084zbMath1304.11083arXiv1309.0324MaRDI QIDQ2874614

Igor E. Shparlinski

Publication date: 8 August 2014

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.0324

zbMATH Keywords

congruencescharacter sumsmonomials

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Estimates on character sums (11L40)

Related Items (1)

SHORTEST DISTANCE IN MODULAR HYPERBOLA AND LEAST QUADRATIC NON‐RESIDUE

Cites Work

• On \(s\)-dimensional incomplete Kloosterman sums
• Bounds of incomplete multiple Kloosterman sums
• Multilinear exponential sums in prime fields under optimal entropy condition on the sources
• Bounds for incomplete hyper-Kloosterman sums
• The congruence \(x_ 1x_ 2\equiv x_ 3x_ 4\pmod p\), the equation \(x_ 1x_ 2=x_ 3x_ 4\), and mean values of character sums
• Vinogradov's mean value theorem via efficient congruencing. II
• On a multilinear character sum of Burgess
• On a variant of sum-product estimates and explicit exponential sum bounds in prime fields

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