4 papers · 1 filter
Explicit bounds for the Riemann zeta function and a new zero-free region
Chiara Bellotti
We prove that for and . As a consequence, we improve the explicit zero-free region for , sho…
On the generalised Dirichlet divisor problem
Chiara Bellotti, Andrew Yang
We improve unconditional estimates on , the remainder term of the generalised divisor function, for large . In particular, we show that $Δ_k(x) \ll x^{1 - 1.889k^{-2/3}}…
A conditional result on exponential sums over primes in short intervals
Chiara Bellotti, Giuseppe Puglisi
The aim of this work is to illustrate a conditional result involving the exponential sums over primes in short intervals under the assumption that both the Generalized Riemann Hypo…
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…