Bingrong Huang

activity

20182023

collaborators

11 papers

math.NT2021

Analytic twists of $G L_{2} \times G L_{2}$ automorphic forms

Bingrong Huang, Qingfeng Sun, Huimin Zhang

Let $f$ and $g$ be holomorphic or Maass cusp forms for $S L_{2} (Z)$ with normalized Fourier coefficients $λ_{f} (n)$ and $λ_{g} (n)$ , respectively. In this paper, we prove nont…

math.NT2020

Quantum variance for dihedral Maass forms

Bingrong Huang, Stephen Lester

We establish an asymptotic formula for the weighted quantum variance of dihedral Maass forms on $Γ_{0} (D) \ H$ in the large eigenvalue limit, for certain fixed $D$ .…

math.NT2020

Averages of coefficients of a class of degree 3 L-functions

Bingrong Huang, Yongxiao Lin, Zhiwei Wang

In this note, we give a detailed proof of an asymptotic for averages of coefficients of a class of degree three $L$ -functions which can be factorized as a product of a degree one a…

math.NT2019

Analytic twists of $G L_{3} \times G L_{2}$ automorphic forms

Yongxiao Lin, Qingfeng Sun

Let $π$ be a Hecke--Maass cusp form for $S L_{3} (Z)$ with normalized Hecke eigenvalues $λ_{π} (n, r)$ . Let $f$ be a holomorphic or Maass cusp form for $S L_{2} (Z)$ …

math.NT2019

Gaussian primes in almost all narrow sectors

Bingrong Huang, Jianya Liu, Zeév Rudnick

We study Gaussian primes lying in narrow sectors, and show that almost all such sectors contain the expected number of primes, if the sectors are not too narrow.

math.NT2018

Quantum variance for Eisenstein Series