On Elementary Estimates of Arithmetic Sums for Polynomial Rings over Finite Fields
Bueno De Andrade, J; Shamesaldeen, A; Summersby, C
Date: 6 December 2018
Article
Journal
Journal of Number Theory
Publisher
Elsevier
Publisher DOI
Abstract
In this paper, a simple and elementary method is given for deriving estimates of sums of arithmetic functions in Fq[t]. The method is the function eld analogue of a result rst proved by Stefan A. Burr in 1973 in the number eld case. A novelty of this paper is that we are able to extend Burr's result, in the function eld context, and ...
In this paper, a simple and elementary method is given for deriving estimates of sums of arithmetic functions in Fq[t]. The method is the function eld analogue of a result rst proved by Stefan A. Burr in 1973 in the number eld case. A novelty of this paper is that we are able to extend Burr's result, in the function eld context, and obtain secondary main terms for the appropriate sums involving the divisor functions dr(f) with an error term that improves the one given by Burr.
Mathematics and Statistics
Faculty of Environment, Science and Economy
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