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arXiv · 2006.16884

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

Athanasios Sourmelidis·Teerapat Srichan·Jörn Steuding
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Abstract

We prove explicit formulae for $α$-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 $ζ(s)$ to the case of $α$-points of the aforementioned $L$-functions. This result implies the uniform distribution of subsequences of $α$-points and from this a discrete universality theorem in the spirit of Voronin is derived.

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Athanasios Sourmelidis, Teerapat Srichan, Jörn Steuding. 2020-06-30. On the Vertical Distribution of Values of $L$-functions in the Selberg Class. https://doi.org/10.1142/s1793042122500191

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