How many real zeros does a random Dirichlet series have?

Marco Aymone, Susana Frómeta, Ricardo Misturini

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