Accelerated Series for Riemann Zeta Function at Odd Integer Arguments - Open Journal of Discrete Mathematics

OJDM > Vol.3 No.1, January 2013

Accelerated Series for Riemann Zeta Function at Odd Integer Arguments ()

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DOI: 10.4236/ojdm.2013.31004 4,823 Downloads 8,190 Views Citations

Author(s)

Juuso T. Olkkonen, Hannu Olkkonen

Affiliation(s)

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

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

Share and Cite:

Olkkonen, J. and Olkkonen, H. (2013) Accelerated Series for Riemann Zeta Function at Odd Integer Arguments. Open Journal of Discrete Mathematics, 3, 18-20. doi: 10.4236/ojdm.2013.31004.

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