Bounds on exponential sums over small multiplicative subgroups

Details Bounds on exponential sums over small multiplicative subgroups Bounds on exponential sums over small multiplicative subgroups

2007-05-31

arxiv.org/abs/0705.4573v1

Mathematics

Number Theory

15 pages. To appear in Proceedings of CRM-Clay workshop on Additive Combinatorics, Montreal 2006

Scientific paper

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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