Character sums over norm groups
type: Item
instance of: scholarly article
title: Character sums over norm groups
zbMATH Open document ID: 1103.11025
published in: Finite Fields and their Applications
publication date: 2006-02-07T00:00:00Z
review text: The author of this paper gives estimates of character sums of Weil type. These estimates are associated with polynomials and rational functions with coefficients in a quadratic extension \(k_{2}\) of a finite field \(k\) of \(q\) elements, additive and multiplicative characters of \(k_{2}\), and summed over the kernel of the norm map from \(k_{2}^{\times}\) to \(k^\times\). The bounds are of the magnitude \(O(\sqrt{q})\) with the implied constant depending on the degree of the polynomial and the total degree of the support of the rational function, similar to Weil's estimate over \(k\).
reviewed by: Jebrel M. Habeb
Mathematics Subject Classification ID: 11L40
Mathematics Subject Classification ID: 11T23
zbMATH DE Number: 5004382
zbMATH Keywords: additive and multiplicative characters
zbMATH Keywords: Idele class characters
zbMATH Keywords: conductors
author: Wen-Ching Winnie Li
MaRDI profile type: Publication
full work available at URL: j.ffa.2004.06.006
OpenAlex ID: W2059055639
cites work: Exponential sums with Dickson polynomials
cites work: An upper bound for Weil exponential sums over Galois rings and applications
cites work: Character sums over \(p\)-adic fields
cites work: On Some Exponential Sums
DOI: 10.1016/J.FFA.2004.06.006
description: scientific article; zbMATH DE number 5004382