collaborators

7 papers

math.NT2020

Random multiplicative functions: The Selberg-Delange class

Marco Aymone

Let , be a generic prime number and be a random multiplicative function supported on the squarefree integers such that is an i.i.d. sequence of…

math.PR2020

Bernoulli Hyperplane Percolation

Marco Aymone, Marcelo R. Hilário, Bernardo N. B. de Lima +1

We study a dependent site percolation model on the -dimensional Euclidean lattice where, instead of single sites, entire hyperplanes are removed independently at random. We exte…

math.NT2020

Partial sums of random multiplicative functions and extreme values of a model for the Riemann zeta function

Marco Aymone, Winston Heap, Jing Zhao

We consider partial sums of a weighted Steinhaus random multiplicative function and view this as a model for the Riemann zeta function. We give a description of the tails and high…

math.PR2020

Law of the iterated logarithm for a random Dirichlet series

Marco Aymone, Susana Frómeta, Ricardo Misturini

Let be a sequence of i.i.d. random variables with distribution . Let . We prove…

math.NT2020

A note on prime number races and zero free regions for functions

Marco Aymone

Let be a real and non-principal Dirichlet character, its Dirichlet -function and let be a generic prime number. We prove the following result: If for some $0\le…

math.NT2019

A note on multiplicative functions resembling the Möbius function

Marco Aymone

We provide examples of multiplicative functions supported on the squarefree integers, such that on primes and such that . F…