3 papers
math.NT2026
First Moment of derivatives of -functions in a nonlinear family
Tinghao Huang, Zhining Wei
In this paper, we prove an asymptotic formula for the moment of the first order derivative of modular -functions at the center of the critical strip, weighted by generalized div…
math.NT2023
On Möbius functions from automorphic forms and a generalized Sarnak's conjecture
Zhining Wei, Shifan Zhao
In this paper, we consider Möbius functions associated with two types of -functions: Rankin-Selberg -functions of symmetric powers of distinct holomorphic cusp forms and -…
math.NT2023
Generalizations of the Erdős-Kac Theorem and the Prime Number Theorem
Biao Wang, Zhining Wei, Pan Yan +1
In this paper, we study the linear independence between the distribution of the number of prime factors of integers and that of the largest prime factors of integers. Respectively,…