Year: 2022
Author: Xiwang Cao, Liqin Qian
Communications in Mathematical Research , Vol. 38 (2022), Iss. 2 : pp. 184–205
Abstract
Let Fq be a finite field and Fqs be an extension of Fq. Let f(x)∈Fq[x] be a polynomial of degree n with gcd(n,q)=1. We present a recursive formula for evaluating the exponential sum ∑c∈Fqsχ(s)(f(x)). Let a and b be two elements in Fq with a a≠0, u be a positive integer. We obtain an estimate for the exponential sum ∑c∈F∗qsχ(s)(acu+bc−1), where χ(s) is the lifting of an additive character χ of Fq. Some properties of the sequences constructed from these exponential sums are provided too.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2021-0030
Communications in Mathematical Research , Vol. 38 (2022), Iss. 2 : pp. 184–205
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Exponential sums finite fields Dickson polynomials sequences.