M. Righetti

activity

20142019

most citedOn Bohr's equivalence theorem

6 citations · 13 across the 8 of their papers we have counts for

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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.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

Mattia Righetti

In this note we investigate the existence of zeros of linear twists of $L$ -functions outside of the critical strip. In particular, we show that the Lerch zeta function $L (λ, α, s)$ h…

math.NT2016★ 6 cited

On Bohr's equivalence theorem

Mattia Righetti

In this note we prove a converse of Bohr's equivalence theorem for Dirichlet series under some natural assumptions.

math.NT2015★ 2 cited

On the density of zeros of linear combinations of Euler products for $σ > 1$

Mattia Righetti

It has been conjectured that the real parts of the zeros of a linear combination of two or more $L$ -functions are dense in the interval $[1, σ^{*}]$ , where $σ^{*}$ is the least upper bo…

math.NT2014★ 4 cited

Zeros of combinations of Euler products for $σ > 1$

Mattia Righetti

In this paper we consider Dirichlet series absolutely converging for $σ > 1$ with an Euler product, natural bounds on the coefficients and satisfying orthogonality relations of Selbe…

Zeros of L(s)+L(2s)+⋯+L(Ns) in the region of absolute convergence

A rigidity theorem for translates of uniformly convergent Dirichlet series

A note on the universality of Hurwitz-Lerch zeta functions

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

On Bohr's equivalence theorem

On the density of zeros of linear combinations of Euler products for σ>1

Zeros of combinations of Euler products for σ>1

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

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

On the density of zeros of linear combinations of Euler products for $σ > 1$

Zeros of combinations of Euler products for $σ > 1$