On various restricted sumsets
| dc.creator | Sun, Zhi-Wei | |
| dc.creator | Yeh, Yeong-Nan | |
| dc.date | 2004-10-25 | |
| dc.date | 2005-06-08 | |
| dc.date.accessioned | 2026-07-07T05:13:41Z | |
| dc.date.available | 2026-07-07T05:13:41Z | |
| dc.description | For finite subsets A_1,...,A_n of a field, their sumset is given by {a_1+...+a_n: a_1 in A_1,...,a_n in A_n}. In this paper we study various restricted sumsets of A_1,...,A_n with restrictions of the following forms: a_i-a_j not in S_{ij}, or alpha_ia_i not=alpha_ja_j, or a_i+b_i not=a_j+b_j (mod m_{ij}). Furthermore, we gain an insight into relations among recent results on this area obtained in quite different ways. | |
| dc.description | 11 pages; final version for J. Number Theory | |
| dc.identifier | https://arxiv.org/abs/math/0410529 | |
| dc.identifier | http://arxiv.org/abs/math/0410529 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72997 | |
| dc.subject | Combinatorics | |
| dc.subject | Number Theory | |
| dc.subject | 05A05; 11B75; 11C08; 11P70 | |
| dc.title | On various restricted sumsets | |
| dc.type | text |