Quan-Li Shen

activity

20162022

most citedThe eighth moment of the Riemann zeta function

1 citations · 1 across the 1 of their papers we have counts for

collaborators

5 papers

math.NT2022★ 1 cited

The eighth moment of the Riemann zeta function

Nathan Ng, Quanli Shen, Peng-Jie Wong

In this article, we establish an asymptotic formula for the eighth moment of the Riemann zeta function, assuming the Riemann hypothesis and a quaternary additive divisor conjecture…

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

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),…

math.NT2019

The fourth moment of quadratic Dirichlet $L$ -functions

Quanli Shen

We study the fourth moment of quadratic Dirichlet $L$ -functions at $s = \frac{1}{2}$ . We show an asymptotic formula under the generalized Riemann hypothesis, and obtain a precise lo…

math.NT2016

The ternary Goldbach problem with primes in positive density sets