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 On simple zeros of the Riemann zeta-function


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We show that at least 19-27 of the zeros of the Riemann zeta-function are simple, assuming the Riemann Hypothesis RH. This was previously established by Conrey, Ghosh and Gonek Proc. London Math. Soc. 76 1998, 497-522 under the additional assumption of the Generalised Lindel\-of Hypothesis GLH. We are able to remove this hypothesis by careful use of the generalised Vaughan identity.



Author: H. M. Bui; D. R. Heath-Brown

Source: https://archive.org/







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