A superlinear improvement on line-free sets ݔ� ݑ�³
2Constructing our line-free set The goal of this section is to prove Theorem . Throughout the section,p≥3p\geq 3is a fixed prime, and we identifyݔ�p\mathbb{F}_{p}with the set{0,1,…,p−1}\{0,1,\ldots,p-1\}as usual, inheriting the natural ordering fromℤ\mathbb{Z}. Inݔ�pn\mathbb{F}_{p}^{n}, alinealways refers to an affine line, that is, a subset of ...