A. Fragkos

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20222026

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math.NT2026

Reasonable bounds for Restricted Polynomial Progressions in $F_{p}^{n}$

Alex Burgin, Anastasios Fragkos, David Kruzel +2

Given an integer $k \geq 2$ and a prime $p$ large enough depending on $k$ , we show that, if $A \subseteq F_{p}^{n}$ does not contain a restricted polynomial progression of the…

math.NT2026

Szemerédi's Theorem Along Cantor Sets of Integers

Alex Burgin, Anastasios Fragkos, Michael T. Lacey +2

Let $C = {k_{1} < k_{2} < \dots}$ be Cantor set of integers, that is a set of integers with restricted digits modulo a base $b$ , and suppose $0$ is one of the restricted digit…

Reasonable bounds for Restricted Polynomial Progressions in Fpn​

Szemerédi's Theorem Along Cantor Sets of Integers

Reasonable bounds for Restricted Polynomial Progressions in $F_{p}^{n}$