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The behaviour of the Riemann zeta-function on the critical line

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

Published online by Cambridge University Press:  26 February 2010

R. R. Hall
R. R. Hall
Affiliation:
Department of Mathematics, University of York, York, YO1 5DD.
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Extract

We are interested in the distribution of those zeros of the Riemann zeta-function which lie on the critical line ℜs = ½, and the maxima of the function between successive zeros. Our results are to be independent of any unproved hypothesis. Put

MSC classification

Secondary: 11M26: Nonreal zeros of $zeta (s)$ and $L(s, chi)$; Riemann and other hypotheses
Type
Research Article
Information
Mathematika , Volume 46 , Issue 2 , December 1999 , pp. 281 - 313
Copyright
Copyright © University College London 1999

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