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On the Vertical Distribution of Values of $L$-functions in the Selberg Class

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arxiv 2006.16884 v1 pith:7PVAHP3K submitted 2020-06-30 math.NT

Athanasios Sourmelidis , Teerapat Srichan , Jörn Steuding This is my paper · ORCID
classification math.NT
keywords alphadistributionfunctionspointsclassselbergtheoremvertical
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abstract

We prove explicit formulae for $\alpha$-points of $L$-functions from the Selberg class. Next we extend a theorem of Littlewood on the vertical distribution of zeros of the Riemann zeta-function $\zeta(s)$ to the case of $\alpha$-points of the aforementioned $L$-functions. This result implies the uniform distribution of subsequences of $\alpha$-points and from this a discrete universality theorem in the spirit of Voronin is derived.

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