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arXiv · 2408.10385

Forbidden conductors and sequences of $\pm 1$s

Maciej Radziejewski
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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.

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Maciej Radziejewski. 2024-08-19. Forbidden conductors and sequences of $\pm 1$s. https://doi.org/10.7169/facm%2F2121

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