Alessandro Fazzari

activity

20192024

collaborators

3 papers

math.NT2024

The third moment of the logarithm of zeta and a twisted pair correlation conjecture

Alessandro Fazzari, Maxim Gerspach

We prove precise conditional estimates for the third moment of the logarithm of the Riemann zeta function, refining what is implied by the Selberg central limit theorem, both for t…

math.NT2021

Weighted value distributions of the Riemann zeta function on the critical line

Alessandro Fazzari

We prove a central limit theorem for $lo g ∣ ζ (1/2 + i t) ∣$ with respect to the measure $∣ ζ^{(m)} (1/2 + i t) ∣^{2 k} d t$ ( $k, m \in N$ ), assuming RH and the asymptotic formula for twiste…

math.NT2019

A weighted central limit theorem for $lo g ∣ ζ (1/2 + i t) ∣$

Alessandro Fazzari

Under the Riemann Hypothesis, we show that as $t$ varies in $T \leq t \leq 2 T$ , the distribution of $lo g ∣ ζ (1/2 + i t) ∣$ with respect to the measure $∣ ζ (1/2 + i t) ∣^{2} d t$ is approximately…

The third moment of the logarithm of zeta and a twisted pair correlation conjecture

Weighted value distributions of the Riemann zeta function on the critical line

A weighted central limit theorem for log∣ζ(1/2+it)∣

A weighted central limit theorem for $lo g ∣ ζ (1/2 + i t) ∣$