PENG-JIE Wong

activity

20192023

most citedThe eighth moment of the Riemann zeta function

1 citations · 1 across the 4 of their papers we have counts for

collaborators

7 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.NT2022

Refinements of strong multiplicity one for $GL (2)$

Peng-Jie Wong

For distinct unitary cuspidal automorphic representations $π_{1}$ and $π_{2}$ for $GL (2)$ over a number field $F$ and any $α \in R$ , let $S_{α}$ be the set of prim…

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

Fourier coefficients of automorphic $L$ -functions over primes in ray classes

Amir Akbary, Peng-Jie Wong

We prove Siegel-Walfisz type theorems (over long and short intervals) for the Fourier coefficients of certain automorphic $L$ -functions and Rankin-Selberg $L$ -functions over number…

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

On the moments of torsion points modulo primes and their applications

Amir Akbary, Peng-Jie Wong

Let $A [n]$ be the group of $n$ -torsion points of a commutative algebraic group $A$ defined over a number field $F$ . For a prime ideal $p$ , we let $N_{\…

The eighth moment of the Riemann zeta function

Refinements of strong multiplicity one for GL(2)

Counting zeros of the Riemann zeta function

Fourier coefficients of automorphic L-functions over primes in ray classes

Counting zeros of Dedekind zeta functions

On the moments of torsion points modulo primes and their applications

Refinements of strong multiplicity one for $GL (2)$

Fourier coefficients of automorphic $L$ -functions over primes in ray classes