Accelerated Series for Riemann Zeta Function at Odd Integer Arguments

Juuso T. Olkkonen, Hannu Olkkonen

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

DOI: 10.4236/ojdm.2013.31004                

Abstract

Riemann zeta function is an important tool in signal analysis and number theory. Applications of the zeta function include e.g. the generation of irrational and prime numbers. In this work we present a new accelerated series for Riemann zeta function. As an application we describe the recursive algorithm for computation of the zeta function at odd integer arguments.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

References

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