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An equivalent to the Riemann hypothesis in the Selberg class

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Abstract

In 2020 S. M. Gonek, S. W. Graham and Y. Lee formulated the Lindelöf hypothesis for prime numbers and proved that it is equivalent to the Riemann Hypothesis. In this note we show that their result holds in the Selberg class of L-functions.

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References

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Acknowledgements

This work is funded by the Research Council of Lithuania (LMTLT), Agreement No. S-MIP-22-81.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Institute of Mathematics, Vilnius University, Naugarduko 24, 03225, Vilnius, Lithuania

    Ramūnas Garunkštis & Jokūbas Putrius

Authors
  1. Ramūnas Garunkštis
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  2. Jokūbas Putrius
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Correspondence to Jokūbas Putrius.

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Communicated by Henrik Bachmann.

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Garunkštis, R., Putrius, J. An equivalent to the Riemann hypothesis in the Selberg class. Abh. Math. Semin. Univ. Hambg. 93, 77–83 (2023). https://doi.org/10.1007/s12188-023-00268-8

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  • DOI: https://doi.org/10.1007/s12188-023-00268-8

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