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.
Original language | English |
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Pages (from-to) | 277-302 |
Number of pages | 26 |
Journal | International Journal of Number Theory |
Volume | 18 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Mar 2022 |
Keywords
- Selberg class
- universality
- α-points
ASJC Scopus subject areas
- Algebra and Number Theory