Andrew Lott

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math.NT2026

Quasipolynomial density bounds for $K$ -point configurations in $Z^{d}$

Andrew Lott, Ákos Magyar, Nagendar Reddy Ponagandla

Let $d, K, N \in N$ with $K \geq 3$ and $d \geq 4 K + 4$ . Let $Δ \subset Z^{d}$ be the vertex set of a nondegenerate $(K - 1)$ -simplex, and let $A \subseteq [N]^{d}$ contain no no…

math.NT2026

Extensions of the Furstenberg-Sárközy theorem via the arithmetic level- $d$ inequality

Carlo Francisco E. Adajar, Rishika Agrawal, Mukul Rai Choudhuri +6

Green and Sawhney recently obtained a quasipolynomial bound in the Furstenberg--Sárközy theorem for square differences by proving an ``arithmetic level-d'' inequality, thereby yiel…

math.NT2025

Notes and computations on forbidden differences

Christian Dean, Haley Havard, Elizabeth Hawkins +3

We explore from several perspectives the following question: given $X \subseteq Z$ and $N \in N$ , what is the maximum size $D (X, N)$ of $A \subseteq {1, 2, \dots, N}$ …

Quasipolynomial density bounds for K-point configurations in Zd

Extensions of the Furstenberg-Sárközy theorem via the arithmetic level-d inequality

Notes and computations on forbidden differences

Quasipolynomial density bounds for $K$ -point configurations in $Z^{d}$

Extensions of the Furstenberg-Sárközy theorem via the arithmetic level- $d$ inequality