Guangshi Lu

collaborators

3 papers

math.NT2022

Additive divisor problem for multiplicative functions

Yujiao Jiang, Guangshi Lü

Let $τ$ denote the divisor function, and $f$ be any multiplicative function that satisfies some mild hypotheses. We establish the asymptotic formula or non-trivial upper bound for…

math.NT2022

Correlations of multiplicative functions with automorphic L-functions

Yujiao Jiang, Guangshi Lü

Let $λ_{ϕ} (n)$ be the Fourier coefficients of a Hecke holomorphic or Hecke--Maass cusp form on $SL_{2} (Z)$ , and $f$ be any multiplicative function that satisfies two mild…

math.NT2016

Sign changes of fourier coefficients of modular forms of half integral weight, 2

Yujiao Jiang, Yuk-Kam Lau, Guangshi Lü +2

In this paper, we investigate the sign changes of Fourier coefficients of half-integral weight Hecke eigenforms and give two quantitative results on the number of sign changes.