The $a$-points of the Riemann zeta-function and the functional equation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913435794538496 |
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| author | Sourmelidis, Athanasios Steuding, Jörn Suriajaya, Ade Irma |
| author_facet | Sourmelidis, Athanasios Steuding, Jörn Suriajaya, Ade Irma |
| contents | 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 $ζ(s)=a$, where $a$ is an arbitrary fixed complex number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_13887 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The $a$-points of the Riemann zeta-function and the functional equation Sourmelidis, Athanasios Steuding, Jörn Suriajaya, Ade Irma Number Theory 11M06 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 $ζ(s)=a$, where $a$ is an arbitrary fixed complex number. |
| title | The $a$-points of the Riemann zeta-function and the functional equation |
| topic | Number Theory 11M06 |
| url | https://arxiv.org/abs/2204.13887 |