The a-Points of the Riemann Zeta-Function and the Functional Equation

Athanasios Sourmelidis (), Jörn Steuding () and Ade Irma Suriajaya ()
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Athanasios Sourmelidis: TU Graz, Institute of Analysis and Number Theory
Jörn Steuding: Würzburg University, Department of Mathematics
Ade Irma Suriajaya: Kyushu University, Faculty of Mathematics

A chapter in Number Theory in Memory of Eduard Wirsing, 2023, pp 307-321 from Springer

Abstract: 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 ζ ( s ) = a $$\zeta (s)=a$$ , where a is an arbitrary fixed complex number.

Keywords: Riemann zeta-function; Riemann hypothesis; a-points; Functional equation (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-31617-3_21

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DOI: 10.1007/978-3-031-31617-3_21

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