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Recognizing Numerical Constants

Bailey, David H. and Plouffe, Simon (1996) Recognizing Numerical Constants. [Preprint]

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      Abstract

      The advent of inexpensive, high-performance computers and new efficient algorithms have made possible the automatic recognition of numerically computed constants. In other words, techniques now exist for determining, within certain limits, whether a computed real or complex number can be written as a simple expression involving the classical constants of mathematics. These techniques will be illustrated by discussing the authors' work in recognizing Euler sums and in finding new formulas for $\pi, \pi^2 and \log^2{(2)}$, formulae that permit digits to be extracted from their expansions.

      Item Type: Preprint
      Additional Information: pubdom FALSE
      Subjects: UNSPECIFIED
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 24 Nov 2003
      Last Modified: 21 Apr 2010 11:13
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/156

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