9 citations · 39 across the 15 of their papers we have counts for
16 papers
A note on the invariants of the -functions
Jerzy Kaczorowski, Alberto Perelli
We explain the exact meaning of a statement we made in a previous paper on invariants, namely that a complex-valued function of the data of the functional equation of an -functi…
Multiple standard twists of -functions
Jerzy Kaczorowski, Alberto Perelli
The standard twist of -functions plays a fundamental role in the Selberg class theory. It is defined as an absolutely convergent Dirichlet series and admits meromorphic continua…
-functions of degree and conductor : underlying ideas and a generalisation
Jerzy Kaczorowski, Alberto Perelli
We present a streamlined account of a recent theorem on the classification of the -functions of degree 2 and conductor 1 from the extended Selberg class. We also present a more…
On the invariants of L-functions of degree 2, I: twisted degree and internal shift
J. Kaczorowski, A. Perelli
This is the first part of a series of papers where the behaviour of the invariants under twist by Dirichlet characters is studied for -functions of degree 2. Here we show, under…
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 -function from the Selberg class has degree , its conductor is a prime number and is weakly twist-regular at all primes…
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.