M. Righetti

activity

20162019

L

-functions outside the critical strip

1 citations · 1 across the 3 of their papers we have counts for

collaborators

5 papers

math.NT2019

Zeros of $L (s) + L (2 s) + \dots + L (N s)$ in the region of absolute convergence

Łukasz Pańkowski, Mattia Righetti

In this paper we show that for every Dirichlet $L$ -function $L (s, χ)$ and every $N \geq 2$ the Dirichlet series $L (s, χ) + L (2 s, χ) + \dots + L (N s, χ)$ have infinitely many zeros for $σ > 1$ .…

math.CA2019

The converse of Bohr's equivalence theorem with Fourier exponents linearly independent over the rational numbers

M. Righetti, J. M. Sepulcre, T. Vidal

Given two arbitrary almost periodic functions with associated Fourier exponents which are linearly independent over the rational numbers, we prove that the existence of a common op…

math.NT2017

A rigidity theorem for translates of uniformly convergent Dirichlet series

A. Perelli, M. Righetti

It is well known that the Riemann zeta function, as well as several other $L$ -functions, is universal in the strip $1/2 < σ < 1$ ; this is certainly not true for $σ > 1$ . Answering a ques…

math.NT2017

A note on the universality of Hurwitz-Lerch zeta functions

Mattia Righetti

A failed attempt to prove the universality of Lerch zeta function $L (λ, α, s)$ when $λ$ is irrational and $α$ is rational, and for any $λ$ when $α$ is irrational algebraic.

math.NT2016★ 1 cited

Zeros of linear twists of $L$ -functions outside the critical strip