Bounding ζ(s) in the critical strip

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Abstract

Assuming the Riemann Hypothesis, we make use of the recently discovered (Carneiro et al. (preprint) [1]) extremal majorants and minorants of prescribed exponential type for the function log(4+x2(α-1/2)2+x2) to find upper and lower bounds with explicit constants for log|ζ(α+it)| in the critical strip, extending the work of Chandee and Soundararajan (in press) [4]. © 2010 Elsevier Inc.

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Carneiro, E., & Chandee, V. (2011). Bounding ζ(s) in the critical strip. Journal of Number Theory, 131(3), 363–384. https://doi.org/10.1016/j.jnt.2010.08.002

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