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arXiv · 2204.13887

The $a$-points of the Riemann zeta-function and the functional equation

Athanasios Sourmelidis·Jörn Steuding·Ade Irma Suriajaya
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Abstract

We prove an equivalent of the Riemann hypothesis in terms of the functional equation (in its asymmetrical form) and the $a$-points of the zeta-function, i.e., the roots of the equation $\zeta(s)=a$, where $a$ is an arbitrary fixed complex number.

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Athanasios Sourmelidis, Jörn Steuding, Ade Irma Suriajaya. 2022-04-29. The $a$-points of the Riemann zeta-function and the functional equation. https://doi.org/10.1007/978-3-031-31617-3_21

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