Fast Converging Series for Riemann Zeta Function

Hannu Olkkonen, Juuso T. Olkkonen

Department of Applied Physics, University of Eastern Finland, Kuopio, Finland.
VTT Technical Research Centre of Finland, Espoo, Finland.

DOI: 10.4236/ojdm.2012.24025                

Abstract

Riemann zeta function has a key role in number theory and in its applications. In this paper we present a new fast converging series for . Applications of the series include the computation of the and recursive computation of , and generally . We discuss on the production of irrational number sequences e.g. for encryption coding and zeta function maps for analysis and synthesis of log-time sampled signals.

Keywords

Riemann Zeta Function; Converging Series; Number Theory; Cryptography; Signal Processing

Conflicts of Interest

The authors declare no conflicts of interest.

References

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