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

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021

Complex valued multiplicative functions with bounded partial sums

Marco Aymone

We present a class of multiplicative functions $f : N \to C$ with bounded partial sums. The novelty here is that our functions do not need to have modulus bounded by…

math.NT2021

Sign changes of the partial sums of a random multiplicative function

Marco Aymone, Winston Heap, Jing Zhao

We provide a simple proof that the partial sums $\sum_{n \leq x} f (n)$ of a Rademacher random multiplicative function $f$ change sign infinitely often as $x \to \infty$ , almost surely.

math.NT2021

Multiplicative functions supported on the $k$ -free integers with small partial sums

Marco Aymone, Caio Bueno, Kevin Medeiros

We provide examples of multiplicative functions $f$ supported on the $k$ -free integers such that at primes $f (p) = \pm 1$ and such that the partial sums of $f$ up to $x$ are $o(x^{1/…

Complex valued multiplicative functions with bounded partial sums

Sign changes of the partial sums of a random multiplicative function

Multiplicative functions supported on the k-free integers with small partial sums

Multiplicative functions supported on the $k$ -free integers with small partial sums