Marco Aymone

activity

20192026

most citedConvolution of periodic multiplicative functions and the divisor problem

1 citations · 1 across the 10 of their papers we have counts for

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Showing 2020 · math.NTShow all

4 papers · 2 filters

math.NT2020

Random multiplicative functions: The Selberg-Delange class

Marco Aymone

Let $1/2 \leq β < 1$ , $p$ be a generic prime number and $f_{β}$ be a random multiplicative function supported on the squarefree integers such that $(f_{β} (p))_{p}$ is an i.i.d. sequence of…

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.NT2020

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 $f : N \to [- 1, 1]$ is small on average in the sense that $\sum_{n\leq x}f(n)\ll x^{1-…

math.NT2020

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

Marco Aymone

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

Random multiplicative functions: The Selberg-Delange class

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

On multiplicative functions which are small on average and zero free regions for the Riemann zeta function

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

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