Estimates of character sums in finite fields

DOI10.1134/S0001434610090221zbMath1261.11085OpenAlexW2061285505MaRDI QIDQ650309

Sergei V. Konyagin

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610090221

zbMATH Keywords

finite fieldcharacter sumpolar latticeMinkowski theoremBurgess estimateWeil estimate

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Weyl sums (11L15)

Related Items (10)

Normality of the Thue-Morse function for finite fields along polynomial values ⋮ On the squares in the set of elements of a finite field with constraints on the coefficients of its basis expansion ⋮ Points on polynomial curves in small boxes modulo an integer ⋮ Estimates for character sums in finite fields of order \(p^2\) and \(p^3\) ⋮ ON SOME MULTIPLE CHARACTER SUMS ⋮ Prescribing the binary digits of squarefree numbers and quadratic residues ⋮ Products with variables from low-dimensional affine spaces and shifted power identity testing in finite fields ⋮ On congruences with products of variables from short intervals and applications ⋮ Some multiplicative equations in finite fields ⋮ On a multilinear character sum of Burgess

Cites Work

• Unnamed Item
• On a question of Davenport and Lewis and new character sum bounds in finite fields
• Equations over finite fields. An elementary approach
• Inequalities for convex bodies and polar reciprocal lattices in \(\mathbb{R}^ n\)
• Character sums and primitive roots in finite fields
• On Character Sums and Primitive Roots^†
• Character Sums and Primitive Roots in Finite Fields

This page was built for publication: Estimates of character sums in finite fields