Combinatorics

On the distribution of quadratic residues

I. Shkredov

Finite Fields and Their Applications 103, 102577 (2025)

Additive combinatorics sheds light on the distribution of the set of squares in the prime field, revealing a new upper bound for the number of gaps.

Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"
Image for the paper "On the distribution of quadratic residues"