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- W2949588755 abstract "Let $G$ be a multiplicative subgroup of the prime field $mathbb F_p$ of size $|G|> p^{1-kappa}$ and $r$ an arbitrarily fixed positive integer. Assuming $kappa=kappa(r)>0$ and $p$ large enough, it is shown that any proportional subset $Asubset G$ contains non-trivial arithmetic progressions of length $r$. The main ingredient is the Szemer'{e}di-Green-Tao theorem." @default.
- W2949588755 created "2019-06-27" @default.
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- W2949588755 date "2016-08-18" @default.
- W2949588755 modified "2023-09-24" @default.
- W2949588755 title "Arithmetic progressions in multiplicative groups of finite fields" @default.
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- W2949588755 doi "https://doi.org/10.48550/arxiv.1608.05449" @default.
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