Chen An

activity

20182021

most citedLog-free zero density estimates for automorphic

L

-functions

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2021

Counterexamples for high-degree generalizations of the Schrödinger maximal operator

Chen An, Rena Chu, Lillian B. Pierce

In 1980 Carleson posed a question on the minimal regularity of an initial data function in a Sobolev space $H^{s} (R^{n})$ that implies pointwise convergence for the solution o…

math.NT2020★ 2 cited

Log-free zero density estimates for automorphic $L$ -functions

Chen An

We prove a log-free zero density estimate for automorphic $L$ -functions defined over a number field $k$ . This work generalizes and sharpens the method of pseudo-characters and the…

math.NT2018

$ℓ$ -torsion in class groups of certain families of $D_{4}$ -quartic fields

Chen An

We prove an upper bound for $ℓ$ -torsion in class groups of almost all fields in certain families of $D_{4}$ -quartic fields. Our key tools are a new Chebotarev density theorem for…

Counterexamples for high-degree generalizations of the Schrödinger maximal operator

Log-free zero density estimates for automorphic L-functions

ℓ-torsion in class groups of certain families of D4​-quartic fields

Log-free zero density estimates for automorphic $L$ -functions

$ℓ$ -torsion in class groups of certain families of $D_{4}$ -quartic fields