An additive theorem and restricted sumsets
| dc.creator | Sun, Zhi-Wei | |
| dc.date | 2006-10-31 | |
| dc.date | 2008-12-04 | |
| dc.date.accessioned | 2026-07-07T12:09:06Z | |
| dc.date.available | 2026-07-07T12:09:06Z | |
| dc.description | Let G be any additive abelian group with cyclic torsion subgroup, and let A, B and C be finite subsets of G with cardinality n>0. We show that there is a numbering {a_i}_{i=1}^n of the elements of A, a numbering {b_i}_{i=1}^n of the elements of B and a numbering {c_i}_{i=1}^n of the elements of C, such that all the sums a_i+b_i+c_i (i=1,...,n) are distinct. Consequently, each subcube of the Latin cube formed by the Cayley addition table of Z/NZ contains a Latin transversal. This additive theorem can be further extended via restricted sumsets in a field. | |
| dc.identifier | https://arxiv.org/abs/math/0610981 | |
| dc.identifier | http://arxiv.org/abs/math/0610981 | |
| dc.identifier | Math. Res. Lett. 15(2008), no.6, 1263-1276 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209515 | |
| dc.subject | Combinatorics | |
| dc.subject | Number Theory | |
| dc.subject | 11B75; 05A05; 05B15; 05E99; 11C08; 11P99; 15A15; 20D60 | |
| dc.title | An additive theorem and restricted sumsets | |
| dc.type | text |