3 papers
math.NT2025
Resolving Adenwalla's conjecture related to a question of Erdős and Graham about covering systems
Zhengkun Jia, Huixi Li, Yushuo Liu
Erdős and Graham posed the question of whether there exists an integer such that the divisors of greater than form a distinct covering system with pairwise coprime modu…
math.NT2024
Some ergodic theorems over squarefree numbers and squarefull numbers
Huixi Li, Biao Wang, Chunlin Wang +1
In 2022, Bergelson and Richter gave a new dynamical generalization of the prime number theorem by establishing an ergodic theorem along the number of prime factors of integers. The…
math.NT2024
On Erdős covering systems in global function fields
Huixi Li, Biao Wang, Chunlin Wang +1
A covering system of the integers is a finite collection of arithmetic progressions whose union is the set of integers. A well-known problem on covering systems is the minimum modu…