9 citations · 13 across the 6 of their papers we have counts for
7 papers
On the Hardy--Littlewood--Chowla conjecture
Guangshi Lü, Zhiwei Wang, Jie Wu
An old conjecture dating back at least to Hildebrand's work in 1989, asserts that the Möbius function exhibits cancellation on shifted primes; that is, $$\sum_{p\le x}μ(p+2)=o(π(x)…
Additive divisor problem for multiplicative functions
Yujiao Jiang, Guangshi Lü
Let denote the divisor function, and be any multiplicative function that satisfies some mild hypotheses. We establish the asymptotic formula or non-trivial upper bound for…
Correlations of multiplicative functions with automorphic L-functions
Yujiao Jiang, Guangshi Lü
Let be the Fourier coefficients of a Hecke holomorphic or Hecke--Maass cusp form on , and be any multiplicative function that satisfies two mild…
A Bombieri-Vinogradov theorem for higher rank groups
Yujiao Jiang, Guangshi Lü, Jesse Thorner +1
We establish a result of Bombieri-Vinogradov type for the Dirichlet coefficients at prime ideals of the standard -function associated to a self-dual cuspidal automorphic represe…
Note on Triple correlations of Fourier coefficients of cusp forms
Guangshi Lü
In this short note, we treat an unbalanced shifted convolution sum of Fourier coefficients of cusp forms by a rather simple argument. Our result improves previous results establish…
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.
On Fourier coefficients of modular forms of half integral weight at squarefree integers
Y. -J Jiang, Y. -K Lau, Emmanuel Royer +1
We show that the Dirichlet series associated to the Fourier coefficients of a half-integral weight Hecke eigenform at squarefree integers extends analytically to a holomorphic func…