10 citations · 48 across the 19 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
On multiplicative functions which are small on average and zero free regions for the Riemann zeta function
Marco Aymone
In this short note we prove the following result: If a completely multiplicative function is small on average in the sense that $\sum_{n\leq x}f(n)\ll x^{1-…
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…
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…