On the distribution of quadratic residues

Ilya D. Shkredov

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arXiv · 2308.14069

On the distribution of quadratic residues

Ilya D. Shkredov

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Abstract

In our paper, we apply additive-combinatorial methods to study the distribution of the set of squares $\mathcal{R}$ in the prime field. We obtain the best upper bound on the number of gaps in $\mathcal{R}$ at the moment and generalize this result for sets with small doubling.

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Ilya D. Shkredov. 2023-08-27. On the distribution of quadratic residues. https://arxiv.org/abs/2308.14069

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