Accelerated Series for Riemann Zeta Function at Odd Integer Arguments

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DOI: 10.4236/ojdm.2013.31004    3,636 Downloads   5,995 Views   Citations

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.

Cite this paper

J. Olkkonen and H. Olkkonen, "Accelerated Series for Riemann Zeta Function at Odd Integer Arguments," Open Journal of Discrete Mathematics, Vol. 3 No. 1, 2013, pp. 18-20. doi: 10.4236/ojdm.2013.31004.

Conflicts of Interest

The authors declare no conflicts of interest.

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