New bounds for Szemeredi's Theorem, I: Progressions of length 4 in finite field geometries
Let F be a fixed finite field of characteristic at least 5. Let G = F^n be the n-dimensional vector space over F, and write N := |G|. We show that if A is a subset of G with size at least c_F N(log N)^{-c}, for some absolute constant c > 0 and some c_F > 0, then A contains four distinc...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Izdano: |
2005
|