Andrew Lott

collaborators

5 papers

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.CO2026

Refined upper bounds on Schur-like numbers

Swaroop Hegde, Andrew Lott, Giorgis Petridis +1

For positive integers $r, m$ and $N$ , every $r$ -coloring of ${1, \dots, N}$ contains a monochromatic solution to $x_{1} + \dots + x_{m + 1} = y_{1} + \dots + y_{m}$ provided that $N \ge 3^r (r!)^{…

math.DS2026

Bourgain's $L^{2}$ pointwise ergodic theorem over function fields

Thái Hoàng Lê, Andrew Lott

We prove a function-field analogue of Bourgain's $L^{2}$ pointwise ergodic theorem. Let $q$ be a power of a prime $p$ , let $F_{q} [t]$ be the ring of polynomials over the finit…

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

Refined upper bounds on Schur-like numbers

Bourgain's L2 pointwise ergodic theorem over function fields

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 $Z^{d}$

Bourgain's $L^{2}$ pointwise ergodic theorem over function fields

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