Avoiding a star of three-term arthmetic progressions
Combinatorics
2019-09-24 v1 Number Theory
Abstract
We provide an upper bound of the size of a subset A of F_p^n that does not admit a k-star of 3-APs (three-term arithmetic progressions). Namely, the subset A is assumed to contain no configuration of k 3-APs, sharing the middle term, such that all 2k+1 terms are distinct. In the proof, we adapt a new method in the recent work of Sauermann.
Keywords
Cite
@article{arxiv.1909.10507,
title = {Avoiding a star of three-term arthmetic progressions},
author = {Masato Mimura and Norihide Tokushige},
journal= {arXiv preprint arXiv:1909.10507},
year = {2019}
}
Comments
6 pages, 2 figures