Chiara Bellotti

collaborators

3 papers

math.NT2023

Explicit zero density estimate near unity

Chiara Bellotti

We will provide the first explicit zero-density estimate for $ζ$ of the form $N (σ, T) \leq C T^{B (1 - σ)^{3/2}} (lo g T)^{C}$ . In particular, we improve $C$ to $10393/900=11.547\d…

math.NT2023

On the generalised Dirichlet divisor problem

Chiara Bellotti, Andrew Yang

We improve unconditional estimates on $Δ_{k} (x)$ , the remainder term of the generalised divisor function, for large $k$ . In particular, we show that $Δ_k(x) \ll x^{1 - 1.889k^{-2/3}}…

math.NT2022

Elementary methods in the study of Deuring-Heilbronn Phenomenon

Chiara Bellotti, Giuseppe Puglisi

The aim of this work is to improve some elementary results regarding both the Deuring-Phenomenon and the Heilbronn-Phenomenon. We will give better estimates regarding both the infl…