Abstract
We study “forbidden” conductors, i.e. numbers $q>0$ satisfying algebraic criteria introduced by J. Kaczorowski, A. Perelli and M. Radziejewski, 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 [6]. We also find positive points of accumulation of rational forbidden $q$.
Citation
Maciej Radziejewski. "Forbidden conductors and sequences of $\pm 1$s." Funct. Approx. Comment. Math. 71 (1) 127 - 136, September 2024. https://doi.org/10.7169/facm/2121
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