The $a$-points of the Riemann zeta-function and the functional equation
Number Theory
2024-07-22 v1
Abstract
We prove an equivalent of the Riemann hypothesis in terms of the functional equation (in its asymmetrical form) and the -points of the zeta-function, i.e., the roots of the equation , where is an arbitrary fixed complex number.
Cite
@article{arxiv.2204.13887,
title = {The $a$-points of the Riemann zeta-function and the functional equation},
author = {Athanasios Sourmelidis and Jörn Steuding and Ade Irma Suriajaya},
journal= {arXiv preprint arXiv:2204.13887},
year = {2024}
}
Comments
Dedicated to the memory of Professor Eduard Wirsing, 12 pages