Mengdi Wang

collaborators

2 papers

math.NT2025

Quantitative bounds in a popular polynomial SzemerÃ©di theorem

Xuancheng Shao, Mengdi Wang

We obtain polylogarithmic bounds in the polynomial SzemerÃ©di theorem when the polynomials have distinct degrees and zero constant terms. Specifically, let $P_1, \dots, P_m \in \ma…

math.NT2024

A quantitative bound on Furstenberg-SÃ¡rkÃ¶zy patterns with shifted prime power common differences in primes

Mengdi Wang

Let $k \geq 1$ be a fixed integer, and $P_{N}$ be the set of primes no more than $N$ . We prove that if a set $A \subset P_{N}$ contains no patterns $p_1,p_1+(p_2…