Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi

  • J. M. Borwein
  • P. B. Borwein
  • D. H. Bailey


The year 1987 was the centenary of Ramanujan’s birth. He died in 1920 Had he not died so young, his presence in modern mathematics might be more immediately felt. Had he lived to have access to powerful algebraic manipulation software, such as MACSYMA, who knows how much more spectacular his already astonishing career might have been.


Fast Fourier Transform Discrete Fourier Transform Galois Group Theta Function Modular Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • J. M. Borwein
    • 1
  • P. B. Borwein
    • 1
  • D. H. Bailey
    • 2
  1. 1.Mathematics DepartmentDalhousie UniversityHalifax, N.S.Canada
  2. 2.NASA Ames Research CenterMoffen FieldUSA

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