Chiara Bellotti

activity

20232026

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4 papers · 1 filter

math.NT2026

Improved average and almost-all bounds for $G (n)$

Chiara Bellotti

In this paper we study the least positive integer $G (n)$ such that the integers $a \leq G (n)$ with $(a, n) = 1$ generate $(Z / n Z)^{\times}$ . We prove that, for every $\var…

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.CO2026

A conjecture of Glasby, Praeger, and Unger on permutations of $S_{n}$

Chiara Bellotti, Tim Trudgian

We prove a conjecture of Glasby, Praeger, and Unger concerning the symmetric group $S_{n}$ . Let $π_{n}$ denote the proportion of elements of $S_{n}$ that are pre- $p$ -cycles for som…

math.NT2026

Zero-free regions inspired by work of Heath-Brown

Chiara Bellotti, Tim Trudgian, Andrew Yang

We prove a new explicit zero-free region for the Riemann zeta-function, drawing substantially on Heath-Brown's seminal work on Linnik's constant. Using these ideas we are able to p…

Improved average and almost-all bounds for G(n)

Counting zeros of Artin L-functions

A conjecture of Glasby, Praeger, and Unger on permutations of Sn​

Zero-free regions inspired by work of Heath-Brown

Improved average and almost-all bounds for $G (n)$

Counting zeros of Artin $L$ -functions

A conjecture of Glasby, Praeger, and Unger on permutations of $S_{n}$