A. Lott

collaborators

4 papers

math.NT2026

The van der Corput property for sums of two squares

Steve Fan, Andrew Lott

Let $S_{N} = {1 \leq d \leq N : d = x^{2} + y^{2} for some x, y \in Z} .$ We prove a power-saving form of the van der Corput property for $S_{N}$ . As a consequence, we obtain a strong SÃ¡…

math.NT2026

SÃ¡rkÃ¶zy's theorem in $F_{q} [t]$ via the van der Corput property

Steve Fan, Andrew Lott

Fix a positive prime power $q$ , and let $F_{q} [t]$ be the ring of polynomials over the finite field $F_{q}$ with $char (F_{q}) > 2$ . Suppose $A \subseteq \…

math.NT2026

Polynomial progressions in the generalized twin primes

Andrew Lott, Nagendar Reddy Ponagandla

By Maynard's theorem and the subsequent improvements by the Polymath Project, there exists a positive integer $b \leq 246$ such that there are infinitely many primes $p$ such that $…

math.NT2025

Polynomial configurations in dense subsets of the prime lattice

Andrew Lott, Ãkos Magyar, Giorgis Petridis +1

We provide a multidimensional extension of previous results on the existence of polynomial progressions in dense subsets of the primes. Let $A$ be a subset of the prime lattice - t…

The van der Corput property for sums of two squares

SÃ¡rkÃ¶zy's theorem in Fq​[t] via the van der Corput property

Polynomial progressions in the generalized twin primes

Polynomial configurations in dense subsets of the prime lattice

SÃ¡rkÃ¶zy's theorem in $F_{q} [t]$ via the van der Corput property