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Experimental Mathematics Volume 26, 2017 - Issue 2
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Original Articles

Jonathan Borwein: Experimental Mathematician

David H. BaileyLawrence Berkeley National Laboratory (retired), Berkeley, CA, USA;Department of Computer Science, University of California, Davis, CA, USACorrespondence[email protected]
Pages 125-129 | Published online: 26 Feb 2017

References

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  • [Bailey et al. 06] D. H. Bailey, J. M. Borwein, and R. E. Crandall. “Integrals of the Ising Class.” J. Phys. A: Math. Gen. 39 (2006), 12271–12302.
  • [Bailey et al. 13] D. H. Bailey, J. M. Borwein, R. E. Crandall, J. Zucker. “Lattice Sums Arising from the Poisson Equation.” J. Phys. A: Math. Theor. 46 (2013), 115201. http://www.davidhbailey.com/dhbpapers/PoissonLattice.pdf.
  • [Bailey and Borwein 13] D. H. Bailey and J. M. Borwein. “Compressed Lattice Sums Arising from the Poisson Equation: Dedicated to Professor Hari Sirvastava.” Boundary Value Prob. 75 (2013). doi: 10.1186/1687-2770-2013-75, http://www.boundaryvalueproblems.com/content/2013/1/75.
  • [Bailey et al. 16] D. H. Bailey, J. M. Borwein, J. S. Kimberley, and W. Ladd. “Computer Discovery and Analysis of Large Poisson Polynomials.” Exp. Math. 24 Aug 2016.
  • [Bailey and Broadhurst 00] D. H. Bailey and D. J. Broadhurst. “Parallel Integer Relation Detection: Techniques and Applications.” Math. Comput. 70:236 (Oct 2000), 1719–1736.
  • [Borwein and Bailey 04] J. Borwein and D. Bailey. Mathematics by Experiment: Plausible Reasoning in the 21st Century. Natick, MA: A K Peters Ltd., 2004.
  • [Borwein et al. 04] J. Borwein, D. Bailey, and R. Girgensohn. Experimentation in Mathematics: Computational Paths to Discovery. Natick, MA: A K Peters Ltd., 2004.
  • [Borwein and Borwein 84] J. M. Borwein and P. B. Borwein. “The Arithmetic–Geometric Mean and Fast Computation of Elementary Functions.” SIAM Rev. 26:3 (July 1984), 351–366.
  • [Borwein and Borwein 87] J. M. Borwein and P. B. Borwein. Pi and the AGM. New York: John Wiley and Sons, 1987.
  • [Borwein and Borwein 84] J. M. Borwein and P. B. Borwein. “Cubic and Higher Order Algorithms for Pi.” Can. Math. Bull. 27 (1984), 436–443.
  • [Borwein et al. 89] J. M. Borwein, P. B. Borwein, and D. H. Bailey. “Ramanujan, Modular Equations, and Approximations to Pi, or How to Compute One Billion Digits of Pi.” Am. Math. Month. 96:3 (March 1989), 201–219.
  • [Borwein et al. 04] J. Borwein, R. Crandall, and G. Fee. “On the Ramanujan AGM Fraction. Part I: The Real-parameter Case.” Exp. Math. 13 (2004), 275–286.
  • [Borwein and Crandall 04] J. Borwein and R. Crandall. “On the Ramanujan AGM Fraction. Part II: The Complex-Parameter Case.” Exp. Math. 13 (2004), 287–296.
  • [Ferguson et al. 99] H. R. P. Ferguson, D. H. Bailey, and S. Arno. “Analysis of PSLQ: An Integer Relation Finding Algorithm.” Math. Comput. 68:225 (Jan 1999), 351–369.
  • [Panzer] E. Panzer. “Algorithms for the Symbolic Integration of Hyperlogarithms with Applications to Feynman Integrals.” Available online (http://arxiv.org/abs/1403.3385).
  • [Savin and Quarfoot 10] G. Savin and D. Quarfoot. “On Attaching Coordinates of Gaussian Prime Torsion Points of y2 = x3 + x  to Q(i).” March 2010. Available online (http://www.math.utah.edu/∼savin/EllipticCurves-Paper.pdf).

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