DocServer

An efficient algorithm for the Riemann zeta function

Borwein, Peter (1995) An efficient algorithm for the Riemann zeta function. [Preprint]

[img]
Preview
Postscript
Download (177Kb) | Preview
    [img]
    Preview
    PDF
    Download (140Kb) | Preview

      Abstract

      A very simple class of algorithms for the computation of the Riemann-zeta function to arbitrary precision in arbitrary domains is proposed. These algorithms out perform the standard methods based on Euler-Maclaurin summation, are easier to implement and are easier to analyse.

      Item Type: Preprint
      Additional Information: pubdom FALSE
      Uncontrolled Keywords: Riemann zeta function, computation, high-precision, algorithm
      Subjects: 11-xx Number theory > 11Mxx Zeta and $L$-functions: analytic theory
      11-xx Number theory > 11Yxx Computational number theory
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 17 Nov 2003
      Last Modified: 21 Apr 2010 11:13
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/107

      Actions (login required)

      View Item