Peng-Jie Wong

collaborators

2 papers

math.NT2026

Counting zeros of Artin $L$ -functions

Chiara Bellotti, Peng-Jie Wong

In this article, assuming Artin's (holomorphy) conjecture, we establish an explicit asymptotic formula for the number of non-trivial zeros, up to any given height $T \geq 1$ , of Art…

math.NT2025

Improved estimates for the argument and zero-counting function of the Riemann zeta-function

Chiara Bellotti, Peng-Jie Wong

In this article, we improve the recent work of Hasanalizade, Shen, and Wong by establishing \[ \left| N (T) - \frac{T}{ 2 Ï} \log \left( \frac{T}{2Ïe}\right) \right|\le 0.10076\l…

Counting zeros of Artin L-functions

Improved estimates for the argument and zero-counting function of the Riemann zeta-function

Counting zeros of Artin $L$ -functions