Published March 2017
| Version Submitted
Journal Article
Open
Freiman homomorphisms on sparse random sets
Abstract
A result of Fiz Pontiveros shows that if A is a random subset of ℤ_N where each element is chosen independently with probability N^(−1/2+o(1)), then with high probability every Freiman homomorphism defined on A can be extended to a Freiman homomorphism on the whole of ℤ_N. In this paper, we improve the bound to CN^(−2/3)(logN)^(1/3), which is best possible up to the constant factor.
Additional Information
© 2017 Oxford University Press. Conlon research supported by a Royal Society University Research Fellowship and by ERC Starting Grant 676632. Gowers research supported by a Royal Society 2010 Anniversary Research Professorship.Attached Files
Submitted - 1603.01734.pdf
Files
1603.01734.pdf
Additional details
Identifiers
- Eprint ID
- 97841
- Resolver ID
- CaltechAUTHORS:20190812-163000651
Related works
- Describes
- https://arxiv.org/abs/1603.01734 (URL)
Funding
- Royal Society
- European Research Council (ERC)
- 676632
Dates
- Created
-
2019-08-16Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department