On sets of large exponential sums
| dc.creator | Shkredov, I. D. | |
| dc.date | 2006-05-26 | |
| dc.date.accessioned | 2026-07-07T07:14:33Z | |
| dc.date.available | 2026-07-07T07:14:33Z | |
| dc.description | 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+ε}, ε>0. This statement shows that the set R is highly structured. We also discuss some of the generalizations and applications of our result. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0605689 | |
| dc.identifier | http://arxiv.org/abs/math/0605689 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112919 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.title | On sets of large exponential sums | |
| dc.type | text |