Quan-Li Shen

activity

20162026

most citedThe fourth moment of quadratic Dirichlet

L

-functions

8 citations · 18 across the 6 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021

Counting zeros of the Riemann zeta function

Elchin Hasanalizade, Quanli Shen, Peng-Jie Wong

In this article, we show that $N (T) - \frac{T}{2 π} lo g (\frac{T}{2 π e}) \leq 0.1038 lo g T + 0.2573 lo g lo g T + 9.3675$ where $N (T)$ denotes the n…

math.NT2021★ 1 cited

The first moment of quadratic twists of modular $L$ -functions

Quanli Shen

We obtain an asymptotic formula with an error term $O (X^{\frac{1}{2} + ε})$ for the smoothed first moment of quadratic twists of modular $L$ -functions. We also give a sim…

math.NT2021

Counting zeros of Dedekind zeta functions

Elchin Hasanalizade, Quanli Shen, Peng-Jie Wong

Given a number field $K$ of degree $n_{K}$ and with absolute discriminant $d_{K}$ , we obtain an explicit bound for the number $N_{K} (T)$ of non-trivial zeros (counted with multiplicity),…

Counting zeros of the Riemann zeta function

The first moment of quadratic twists of modular L-functions

Counting zeros of Dedekind zeta functions

The first moment of quadratic twists of modular $L$ -functions