A. Perelli

collaborators

3 papers

math.NT2023

Twists by Dirichlet characters and polynomial Euler products of L-functions, II

J. Kaczorowski, A. Perelli

In a previous paper we proved that if an $L$ -function $F$ from the Selberg class has degree $2$ , its conductor $q_{F}$ is a prime number and $F$ is weakly twist-regular at all primes…

math.NT2023

Twists by Dirichlet characters and polynomial Euler products of L-functions

J. Kaczorowski, A. Perelli

We prove that suitable properties of the twists by Dirichlet characters of an L-function of degree 2 imply that its Euler product is of polynomial type.

math.NT2022

Forbidden conductors of L-functions and continued fractions of particular form

J. Kaczorowski, A. Perelli, M. Radziejewski

In this paper we study the forbidden values of the conductor $q$ of the $L$ -functions of degree 2 in the extended Selberg class by a novel technique, linking the problem to certain…