TITLE:
Accelerated Series for Riemann Zeta Function at Odd Integer Arguments
AUTHORS:
Juuso T. Olkkonen, Hannu Olkkonen
KEYWORDS:
Riemann Zeta Function; Converging Series; Number Theory; Cryptography; Signal Processing; Compressive Sensing
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.3 No.1,
January
29,
2013
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.