Lilian Matthiesen

collaborators

2 papers

math.NT2024

Quantitative asymptotics for polynomial patterns in the primes

Lilian Matthiesen, Joni TerÃ¤vÃ¤inen, Mengdi Wang

We prove quantitative estimates for averages of the von Mangoldt and MÃ¶bius functions along polynomial progressions $n + P_{1} (m), \dots, n + P_{k} (m)$ for a large class of polynomials $P…

math.NT2024

Smooth numbers are orthogonal to nilsequences

Lilian Matthiesen, Mengdi Wang

The aim of this paper is to study distributional properties of integers without large or small prime factors. Define an integer to be $[y^{'}, y]$ -smooth if all of its prime factors be…