1 citations · 1 across the 2 of their papers we have counts for
4 papers
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…