Screw functions of Dirichlet series in the extended Selberg class
We introduce screw functions for Dirichlet series in the extended Selberg class. We then prove that the Grand Riemann Hypothesis for a member of the extended Selberg class is equivalent to the non-positivity of the corresponding screw function.
Authors
- Masatoshi Suzuki (ORCID: https://orcid.org/0000-0001-5665-5856)
Institutions
- Tokyo Institute of Technology (JP)
Publication Details
- Journal
- International Journal of Number Theory
- Published
- 2025-04-23
- DOI
- https://doi.org/10.1142/s1793042125500885
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00