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arXiv · 1807.11065

On growth of the set $A(A+1)$ in arbitrary finite fields

Ali Mohammadi
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Abstract

Let $\mathbb{F}_q$ be a finite field of order $q$, where $q$ is a power of a prime. For a set $A \subset \mathbb{F}_q$, under certain structural restrictions, we prove a new explicit lower bound on the size of the product set $A(A + 1)$. Our result improves on the previous best known bound due to Zhelezov and holds under more relaxed restrictions.

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Ali Mohammadi. 2018-07-29. On growth of the set $A(A+1)$ in arbitrary finite fields. https://arxiv.org/abs/1807.11065

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