| dc.contributor.author | Bueno De Andrade, J | |
| dc.contributor.author | Shamesaldeen, A | |
| dc.contributor.author | Summersby, C | |
| dc.date.accessioned | 2018-11-14T12:00:45Z | |
| dc.date.issued | 2018-12-06 | |
| dc.description.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 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. | en_GB |
| dc.description.sponsorship | The first author is grateful to the Leverhulme Trust (RPG-2017-320) for
the support through the research project grant “Moments of L-functions
in Function Fields and Random Matrix Theory”. The second author was
supported by a Ph.D. scholarship from the government of Kuwait. The third
author was supported by an EPSRC Vacation Bursary. | en_GB |
| dc.identifier.citation | Published online 6 December 2018. | en_GB |
| dc.identifier.doi | 10.1016/j.jnt.2018.10.015 | |
| dc.identifier.uri | http://hdl.handle.net/10871/34758 | |
| dc.language.iso | en | en_GB |
| dc.publisher | Elsevier | en_GB |
| dc.rights.embargoreason | Under embargo until 6 December 2019 in compliance with publisher policy. | en_GB |
| dc.rights | © 2018 Elsevier Inc. All rights reserved. | |
| dc.title | On Elementary Estimates of Arithmetic Sums for Polynomial Rings over Finite Fields | en_GB |
| dc.type | Article | en_GB |
| dc.identifier.issn | 0022-314X | |
| dc.description | This is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record. | en_GB |
| dc.identifier.journal | Journal of Number Theory | en_GB |
