Burgess's Bounds for Character Sums
Roger Heath-Brown
TL;DR
This paper extends Burgess's bounds to provide estimates for the average of multiple character sums, enhancing understanding of their collective behavior.
Contribution
It introduces a novel mean value estimate based on Burgess's bounds, broadening their applicability beyond individual sums.
Findings
Burgess's bounds apply to mean values of character sums.
The paper establishes new bounds for averages of character sums.
Results improve understanding of character sum distributions.
Abstract
We prove that Burgess's bound gives an estimate not just for a single character sum, but for a mean value of many such sums.
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Taxonomy
TopicsAnalytic Number Theory Research · Limits and Structures in Graph Theory · Algebraic Geometry and Number Theory