1 citations · 1 across the 3 of their papers we have counts for
6 papers
Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros
Alessandro Fazzari, Maxim Gerspach, Paolo Minelli
We consider the value distribution of the logarithm of the Riemann zeta function on the critical line, weighted by the local statistics of zeta zeros. We show that, with appropriat…
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…
Almost sure lower bounds for a model problem for multiplicative chaos in number theory
Maxim Gerspach
The goal of this work is to prove an analogue of a recent result of Harper on almost sure lower bounds of random multiplicative functions, in a setting that can be thought of as a…
Low pseudomoments of Euler products
Maxim Gerspach, Youness Lamzouri
In this paper, we determine the order of magnitude of the -th pseudomoment of powers of the Riemann zeta function for and , completing the results…
Low pseudomoments of the Riemann zeta function and its powers
Maxim Gerspach
The -th pseudomoment of the -th power of the Riemann zeta function is defined to be the -th moment of the partial sum up to of on the critical…
Random matrix-valued multiplicative functions and linear recurrences in Hilbert-Schmidt norms of random matrices
Maxim Gerspach
We introduce the notion of a random matrix-valued multiplicative function, generalizing Rademacher random multiplicative functions to matrices. We provide an asymptotic for the sec…