Marco Aymone

activity

20142026

most citedLaw of the iterated logarithm for a random Dirichlet series

10 citations · 48 across the 19 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.NT2023★ 1 cited

Convolution of periodic multiplicative functions and the divisor problem

Marco Aymone, Gopal Maiti, Olivier Ramaré +1

We study a certain class of arithmetic functions that appeared in Klurman's classification of $\pm 1$ multiplicative functions with bounded partial sums, c.f., Comp. Math. 153 (8),…

math.NT2023

Sign changes of the partial sums of a random multiplicative function II

Marco Aymone

We study two models of random multiplicative functions: Rademacher random multiplicative functions supported on the squarefree integers $f$ , and Rademacher random completely multip…

math.NT2023

How many real zeros does a random Dirichlet series have?

Marco Aymone, Susana Frómeta, Ricardo Misturini

Let $F (σ) = \sum_{n = 1}^{\infty} \frac{X _{n}}{n ^{σ}}$ be a random Dirichlet series where $(X_{n})_{n \in N}$ are independent standard Gaussian random variables. We compute in a quantit…