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Accelerated Series for Riemann Zeta Function at Odd Integer Arguments
VTT Technical Research Centre of Finland, Espoo, Finland
Department of Applied Physics, University of Eastern Finland, Kuopio, Finland
- 1 VTT Technical Research Centre of Finland, Espoo, Finland
- 2 Department of Applied Physics, University of Eastern Finland, Kuopio, Finland
Open Journal of Discrete Mathematics·Volume 03 (2013)·Pages 18–20·Published 29 January 2013·DOI10.4236/ojdm.2013.31004
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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.
KeywordsRiemann Zeta FunctionConverging SeriesNumber TheoryCryptographySignal ProcessingCompressive Sensing
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