4 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…
On the sign changes of
Maciej GrzeÅkowiak, Jerzy Kaczorowski, Åukasz PaÅkowski +1
We improve the lower bound for , the number of sign changes of the error term in the Prime Number Theorem in the interval for large . We show that \[ \li…
-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…