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Computing Extremely Large Values of the Riemann Zeta Function

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The paper summarizes the computation results pursuing peak values of the Riemann zeta function. The computing method is based on the RS-Peak algorithm by which we are able to solve… Click to show full abstract

The paper summarizes the computation results pursuing peak values of the Riemann zeta function. The computing method is based on the RS-Peak algorithm by which we are able to solve simultaneous Diophantine approximation problems efficiently. The computation environment was served by the SZTAKI Desktop Grid operated by the Laboratory of Parallel and Distributed Systems at the Hungarian Academy of Sciences and the ATLAS supercomputing cluster of the Eötvös Loránd University, Budapest. We present the largest Riemann zeta value known till the end of 2016.

Keywords: zeta function; function computing; computing extremely; riemann zeta; values riemann

Journal Title: Journal of Grid Computing
Year Published: 2017

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