Yongxiao Lin

activity

20162021

most citedTriple correlations of Fourier coefficients of cusp forms

3 citations · 3 across the 3 of their papers we have counts for

collaborators

8 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

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

Cancellation in additively twisted sums on $GL (2)$ with non-linear phase

Yongxiao Lin, Zhi Qi

Let $λ_{g} (n)$ be the Fourier coefficients of a holomorphic cusp modular form $g$ for $SL_{2} (Z)$ . The aim of this article is to get non-trivial bound on non-linear…

math.NT2019

A Bessel delta-method and exponential sums for GL(2)

Keshav Aggarwal, Roman Holowinsky, Yongxiao Lin +1

In this paper, we introduce a simple Bessel $δ$ -method to the theory of exponential sums for $G L_{2}$ . Some results of Jutila on exponential sums are generalized in a less techni…

math.NT2018

The Burgess bound via a trivial delta method

Keshav Aggarwal, Roman Holowinsky, Yongxiao Lin +1

Let $g$ be a fixed Hecke cusp form for $SL (2, Z)$ and $χ$ be a primitive Dirichlet character of conductor $M$ . The best known subconvex bound for $L(1/2,g\otimes χ…

Analytic twists of GL2​×GL2​ automorphic forms

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

Analytic twists of GL3​×GL2​ automorphic forms

Cancellation in additively twisted sums on GL(2) with non-linear phase

A Bessel delta-method and exponential sums for GL(2)

The Burgess bound via a trivial delta method

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

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

Cancellation in additively twisted sums on $GL (2)$ with non-linear phase