Bounds on exponential sums over small multiplicative subgroups
Par Kurlberg

TL;DR
This paper demonstrates that exponential sums over small multiplicative subgroups of finite fields exhibit significant cancellation, highlighting advanced techniques in finite field analysis.
Contribution
It provides an exposition of Bourgain and Chang's arguments, establishing bounds on exponential sums over small subgroups.
Findings
Significant cancellation in exponential sums over small subgroups
Explicit bounds derived for these sums
Methodological insights into Bourgain and Chang's approach
Abstract
We show that there is significant cancellation in certain exponential sums over small multiplicative subgroups of finite fields, giving an exposition of the arguments by Bourgain and Chang.
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Taxonomy
TopicsLimits and Structures in Graph Theory · Finite Group Theory Research · Analytic Number Theory Research
