Sublattices of finite index
| dc.creator | Liu, Chunlei | |
| dc.date | 2006-12-15 | |
| dc.date | 2007-01-05 | |
| dc.date.accessioned | 2026-07-07T07:38:34Z | |
| dc.date.available | 2026-07-07T07:38:34Z | |
| dc.description | Assuming the Gowers Inverse conjecture and the Möbius conjecture for the finite parameter $s$, Green-Tao verified Dickson's conjecture for lattices which are ranges of linear maps of complexity at most $s$. In this paper, we reformulate Green-Tao's theorem on Dickson's conjecture, and prove that, if $L$ is the range of a linear map of complexity $s$, and $L_1$ is a sublattice of $L$ of finite index, then $L_1$ is the range of a linear map of complexity $s$. | |
| dc.description | Revised on Jan. 5, 2007 | |
| dc.identifier | https://arxiv.org/abs/math/0612439 | |
| dc.identifier | http://arxiv.org/abs/math/0612439 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121133 | |
| dc.subject | Number Theory | |
| dc.subject | 11P32 | |
| dc.title | Sublattices of finite index | |
| dc.type | text |