Mathematics – Number Theory
Scientific paper
2006-05-26
Mathematics
Number Theory
19 pages
Scientific paper
Let A be a subset of Z / NZ, and let R be the set of large Fourier coefficients of A. Properties of R have been studied in works of M.-C. Chang and B. Green. Our result is the following : the number of quadruples (r_1, r_2, r_3, r_4) \in R^4 such that r_1 + r_2 = r_3 + r_4 is at least |R|^{2+\epsilon}, \epsilon>0. This statement shows that the set R is highly structured. We also discuss some of the generalizations and applications of our result.
No associations
LandOfFree
On sets of large exponential sums 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 On sets of large exponential sums, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On sets of large exponential sums will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-238587