Forbidden conductors and sequences of $\pm 1$s
Number Theory
2025-05-19 v2
Abstract
We study "forbidden" conductors, i.e. numbers q > 0 satisfying algebraic criteria introduced by J. Kaczorowski, A. Perelli and M. Radziejewski [Acta Arith. 210 (2023), 1-21], that cannot be conductors of L-functions of degree 2 from the extended Selberg class. We show that the set of forbidden q is dense in the interval (0,4), solving a problem posed in [Acta Arith. 210 (2023), 1-21]. We also find positive points of accumulation of rational forbidden q.
Cite
@article{arxiv.2408.10385,
title = {Forbidden conductors and sequences of $\pm 1$s},
author = {Maciej Radziejewski},
journal= {arXiv preprint arXiv:2408.10385},
year = {2025}
}
Comments
This paper is a part of the proceedings of the ELAZ 2022 conference held in Pozna\'n