Porritt, SM;
(2018)
A note on exponential-Möbius sums over F_{q}[t].
Finite Fields and Their Applications
, 51
pp. 298-305.
10.1016/j.ffa.2018.02.005.
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Abstract
In 1991, Baker and Harman proved, under the assumption of the generalized Riemann hypothesis, that maxθ∈[0,1)|∑n⩽xμ(n)e(nθ)|≪ϵx3/4+ϵ. The purpose of this note is to deduce an analogous bound in the context of polynomials over a finite field using Weil's Riemann Hypothesis for curves over a finite field. Our approach is based on the work of Hayes who studied exponential sums over irreducible polynomials.
| Type: | Article |
|---|---|
| Title: | A note on exponential-Möbius sums over F_{q}[t] |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.ffa.2018.02.005 |
| Publisher version: | https://doi.org/10.1016/j.ffa.2018.02.005 |
| Language: | English |
| Additional information: | © 2018 The Author. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
| Keywords: | Möbius function, Exponential sums, Function fields |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10052313 |
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