Partial Gaussian sums in finite fields

Details Partial Gaussian sums in finite fields Partial Gaussian sums in finite fields

2010-02-03

arxiv.org/abs/1002.0670v1

Mathematics

Number Theory

Scientific paper

We generalize Burgess' results on partial Gaussian sums to arbitrary finite fields. The main ingredients are the classical method of amplification, two deep results on multiplicative energy for subsets in finite fields which are obtained respectively by the tools from additive combinatorics and geometry of numbers, and a technique of Chamizo for treating the difficulty caused by additive character. Our results include the recent works on character sums in finite fields by M.-C. Chang and S. V. Konyagin.

Affiliated with

Also associated with

No associations

Rating

Partial Gaussian sums in finite fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Partial Gaussian sums in finite fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partial Gaussian sums in finite fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-601824