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2016 Improvements to Turing's method II
Tim Trudgian
Rocky Mountain J. Math. 46(1): 325-332 (2016). DOI: 10.1216/RMJ-2016-46-1-325

Abstract

Turing's method uses explicit bounds on $|\int _{t_{1}}^{t_{2}} S(t)\, dt|$, where $\pi S(t)$ is the argument of the Riemann zeta-function. This article improves the bound on $|\int _{t_{1}}^{t_{2}} S(t)\, dt|$ given in \cite {TrudgianTuring}.

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Tim Trudgian. "Improvements to Turing's method II." Rocky Mountain J. Math. 46 (1) 325 - 332, 2016. https://doi.org/10.1216/RMJ-2016-46-1-325

Information

Published: 2016
First available in Project Euclid: 23 May 2016

zbMATH: 06587834
MathSciNet: MR3506092
Digital Object Identifier: 10.1216/RMJ-2016-46-1-325

Subjects:
Primary: 11M06

Rights: Copyright © 2016 Rocky Mountain Mathematics Consortium

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Vol.46 • No. 1 • 2016
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