TITLE:
Fast Converging Series for Riemann Zeta Function
AUTHORS:
Hannu Olkkonen, Juuso T. Olkkonen
KEYWORDS:
Riemann Zeta Function; Converging Series; Number Theory; Cryptography; Signal Processing
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.2 No.4,
November
1,
2012
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.