On the distribution of powers in finite fields

DOI10.1006/ffta.1997.0199zbMath0910.11055OpenAlexW1982605042MaRDI QIDQ1267004

Arne Winterhof

Publication date: 8 April 1999

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1997.0199

zbMATH Keywords

distribution of powersDavenport-Lewis boundincomplete character sumsmultiplicative character of a finite fieldPolya-Vinogradov bound

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Estimates on character sums (11L40) Sums over arbitrary intervals (11L26)

Related Items

Character sums, primitive elements, and powers in finite fields, Representations of the character groups of \(\mathbb{F}_q\), On the distribution of points in orbits of \(\text{PGL}(2,q)\) acting on \(\text{GF}(q^{n})\)., ON A PROBLEM OF PERRON, Counting quadratic nonresidues in shifted subsets of the set of quadratic nonresidues for primes \(p = 4 k + 1\), On the Classification of Orbits of Symmetric Subgroups Acting on Flag Varieties of SL(2,k), On pseudorandom subsets in finite fields. I: Measure of pseudorandomness and support of Boolean functions, On the distribution of powers in finite fields, Measures of pseudorandomness for binary sequences constructed using finite fields, Factoring polynomials over arbitrary finite fields, On Fiber Characters of and Related Polynomial Algebras, Incomplete character sums and polynomial interpolation of the discrete logarithm

Cites Work

• Lower estimates in the large sieve
• On the distribution of powers in finite fields
• Character sums and primitive roots in finite fields
• Bemerkungen über die Verteilung der quadratischen Reste
• On Character Sums and Primitive Roots^†
• Verteilungseigenschaften von Potenzresten.
• A Note on the Distribution of Residues and Non-Residues
• On the distribution of quadratic residues