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THE $\unicode[STIX]{x1D703}=\infty$ CONJECTURE IMPLIES THE RIEMANN HYPOTHESIS

Part of: Zeta and $L$-functions: analytic theory

Published online by Cambridge University Press:  26 July 2016

Sandro Bettin  and
Steven M. Gonek
Sandro Bettin
Affiliation:
DIMA - Dipartimento di Matematica, Via Dodecaneso, 35, 16146 Genova, Italy email bettin@dima.unige.it
Steven M. Gonek
Affiliation:
Department of Mathematics, University of Rochester, Rochester, NY 14627, U.S.A. email gonek@math.rochester.edu
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Abstract

We show that the $\unicode[STIX]{x1D703}=\infty$ conjecture implies the Riemann hypothesis.

MSC classification

Primary: 11M06: $zeta (s)$ and $L(s, chi)$ 11M26: Nonreal zeros of $zeta (s)$ and $L(s, chi)$; Riemann and other hypotheses

Information

Type
Research Article
Information
Mathematika , Volume 63 , Issue 1 , 2017 , pp. 29 - 33
Copyright
Copyright © University College London 2016 

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References

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