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The large values of the Riemann Zeta-function
Published online by Cambridge University Press: 26 February 2010
Abstract
Let |θ| < π/2 and . By refining Selberg's method, we study the large values of as t → ∞ For σ close to ½ we obtain Ω+ estimates that are as good as those obtained previously on the Riemann Hypothesis. In particular, we show that
and
Our results supplement those of Montgomery which are good when σ > ½ is fixed.
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- Research Article
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- Copyright © University College London 1993
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