The quest for pi
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Publication:1361163
DOI10.1007/BF03024340zbMath0878.11002WikidataQ56001144 ScholiaQ56001144MaRDI QIDQ1361163
David H. Bailey, Peter B. Borwein, Jonathan M. Borwein, Simon Plouffe
Publication date: 17 December 1997
Published in: The Mathematical Intelligencer (Search for Journal in Brave)
Computation of special functions and constants, construction of tables (65D20) History of number theory (11-03) History of numerical analysis (65-03) Evaluation of number-theoretic constants (11Y60)
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Cites Work
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- Is \(\pi\) normal ?
- On the rapid computation of various polylogarithmic constants
- Calculation of π to 100,000 Decimals
- The Computation of π to 29,360,000 Decimal Digits Using Borweins' Quartically Convergent Algorithm
- Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi
- Fast Multiple-Precision Evaluation of Elementary Functions
- Computation of π Using Arithmetic-Geometric Mean
- A Spigot Algorithm for the Digits of π