56 citations · 76 across the 6 of their papers we have counts for
6 papers
A large sieve inequality of Elliott--Montgomery--Vaughan type for Maass forms on GL(n,R) with applications
Yuk-Kam Lau, Ming Ho Ng, Emmanuel Royer +1
In this paper, we establish a large sieve inequality of Elliott-Montgomery-Vaughan type for Maass forms on GL(n, R) and explore three applications.
Local Behavior of Arithmetical Functions with Applications to Automorphic L-Functions
Yuk-Kam Lau, Jianya Liu, Jie Wu
We derive a Voronoi-type series approximation for the local weighted mean of an arithmetical function that is associated to Dirichlet series satisfying a functional equation with g…
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.
Sign of Fourier coefficients of modular forms of half integral weight
Yuk-Kam Lau, Emmanuel Royer, Jie Wu
We establish lower bounds for (i) the numbers of positive and negative terms and (ii) the number of sign changes in the sequence of Fourier coefficients at squarefree integers of a…
On modular signs
Emmanuel Kowalski, Yuk Kam Lau, Kannan Soundararajan +1
We consider some questions related to the signs of Hecke eigenvalues or Fourier coefficients of classical modular forms. One problem is to determine to what extent those signs, for…
The number of Hecke eigenvalues of same signs
Yuk Kam Lau, Jie Wu
We give the best possible lower bounds in order of magnitude for the number of positive and negative Hecke eigenvalues. This improves upon a recent work of Kohnen, Lau & Shparlinsk…