Biao Wang

activity

20082026

most citedFoliations for Quasi-Fuchsian 3-Manifolds

10 citations · 78 across the 35 of their papers we have counts for

collaborators

35 papers

math.NT2026

Two averaged dynamical generalizations of Chowla's conjecture

Biao Wang

Let $k \geq 1$ be an integer and let $λ$ be the Liouville function. In 1965, Chowla gave a conjecture that the values of $λ (n + h_{1}), \dots, λ (n + h_{k})$ are asymptotically unrelated for an…

math.NT2026

Asymptotic uncorrelations between functions with squarefull kernel and functions of invariant average

Xiang Su, Biao Wang, Shaoyun Yi

In 1986, Ivić and Tenenbaum introduced arithmetic functions with squarefull kernel, which are also called $s$ -functions. Later, Erdős and Ivić gave an asymptotic estimate on the sh…

math.NT2025

A logarithmic analogue of Alladi's formula

Biao Wang

Let $μ (n)$ be the Möbius function. Let $P^{-} (n)$ denote the smallest prime factor of an integer $n$ . In 1977, Alladi established the following formula related to the prime number th…

math.NT2025★ 1 cited

The prime number theorem over integers of power-free polynomial values

Biao Wang, Shaoyun Yi

Let $f (x) \in Z [x]$ be an irreducible polynomial of degree $d \geq 1$ . Let $k \geq 2$ be an integer. The number of integers $n$ such that $f (n)$ is $k$ -free is widely studied in…

math.NT2024

Bounds for Erdős covering systems in global function fields

Biao Wang

Covering systems of the integers were introduced by Erdős in 1950. Since then, many beautiful questions and conjectures about these objects have been posed. Most famously, Erdős as…

math.NT2024★ 3 cited

A generalization of the Titchmarsh divisor problem

Biao Wang

Let $d^{(k)} (n)$ be the $k$ -free divisor function for integer $k \geq 2$ . Let $a$ be a nonzero integer. In this paper, we establish an asymptotic formula \begin{equation*} \sum_{p\leq…