Equations in finite fields with restricted solution sets. I: Character sums

DOI10.1007/s10474-007-6192-5zbMath1164.11074OpenAlexW1995967765MaRDI QIDQ949768

András Sárközy, Katalin Gyarmati

Publication date: 21 October 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-6192-5

zbMATH Keywords

finite fieldscharacter sumsequations over finite fields

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24)

Related Items (10)

Character sums over affine spaces and applications ⋮ Analogues of the Balog-Wooley decomposition for subsets of finite fields and character sums with convolutions ⋮ Expanders on Matrices over a Finite Chain Ring, II ⋮ ON THE SOLVABILITY OF BILINEAR EQUATIONS IN FINITE FIELDS ⋮ Density and Ramsey type results on algebraic equations with restricted solution sets ⋮ On primitive elements of finite fields avoiding affine hyperplanes ⋮ Additive double character sums over some structured sets and applications ⋮ ON THREE-VARIABLE EXPANDERS OVER FINITE FIELDS ⋮ On the pseudorandom properties of subsets constructed by using primitive roots ⋮ Polynomial values and generators with missing digits in finite fields

Cites Work

• On the least primitive root of a prime
• Equations over finite fields. An elementary approach
• On differences and sums of integers. I
• On a problem of Diophantus
• Estimates for Character Sums
• On sums and products of residues modulo p
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