$L$-functions of degree $2$ and conductor $1$: underlying ideas and a generalisation
Number Theory
2025-03-05 v1
Abstract
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 general new result dealing with functional equations involving two Dirichlet series. Further, we correct a slip in the original proof of the above theorem, which however does not affect the final result.
Cite
@article{arxiv.2503.02492,
title = {$L$-functions of degree $2$ and conductor $1$: underlying ideas and a generalisation},
author = {Jerzy Kaczorowski and Alberto Perelli},
journal= {arXiv preprint arXiv:2503.02492},
year = {2025}
}
Comments
14 pages