Author(s)

Hannu Olkkonen, Juuso T. Olkkonen

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

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.

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

H. Olkkonen and J. Olkkonen, "Fast Converging Series for Riemann Zeta Function," Open Journal of Discrete Mathematics, Vol. 2 No. 4, 2012, pp. 131-133. doi: 10.4236/ojdm.2012.24025.