References
- Bailey, D. H., Borwein, J. M., Crandall, R. E., Zucker, J. (2013). Lattice sums arising from the Poisson equation. J. Phys. A: Math. Theoret. 46(11): 115201, 31pp. DOI: https://doi.org/10.1088/1751-8113/46/11/115201.
- Bailey, D. H., Borwein, J. M. (2013). Compressed lattice sums arising from the Poisson equation: dedicated to Professor Hari Sirvastava. Bound. Value Prob. 75. DOI: https://doi.org/10.1186/1687-2770-2013-75
- Bailey, D. H., Borwein, J. M. (2013). Pi day is upon us again and we still do not know if pi is normal. Amer. Math. Monthly. 121(3): 191–206.
- Bailey, D. H., Borwein, J. M., Kimberley, J. S., Ladd, W. (2016). Computer discovery and analysis of large Poisson polynomials. Experimental Math. 26(3): 349–363. DOI: https://doi.org/10.1080/10586458.2016.1180565.
- Bailey, D. H., Borwein, P. B., Plouffe, S. (1997). On the rapid computation of various polylogarithmic constants. Math. Comp. 66(218): 903–913, DOI: https://doi.org/10.1090/S0025-5718-97-00856-9.
- Bailey, D. H., Broadhurst, D. J. (2000). Parallel integer relation detection: techniques and applications. Math. Comp. 70(236): 1719–1736. DOI: https://doi.org/10.1090/S0025-5718-00-01278-3.
- Baillie, R., Borwein, D., Borwein, J. M. (2008). Surprising sinc sums and integrals. Amer. Math. Monthly. 115(10): 888–901.
- Barzilai. J., Borwein, J. M. (1988). Two-point step size gradient methods. IMA J. Num. Anal. 8(1): 141–148.
- Borwein, D., Borwein, J. M. (2001). Some remarkable properties of sinc and related integrals. Ramanujan J. 5(1): 73–89. DOI: https://doi.org/10.1023/A:1011497229317.
- Borwein, D., Borwein, J. M., Borwein, P. B., Girgensohn, R. (1996). Giuga’s conjecture on primality. Amer. Math. Monthly. 103(1): 40–50.
- Borwein, J. M., Borwein, D., Galway, W. F. (2004). Finding and excluding b-ary Machin-type individual digit formulae. Canad. J. Math. 56(4): 897–925.
- Borwein, J. M., Borwein, P. B. (1984). The arithmetic–geometric mean and fast computation of elementary functions. SIAM Rev. 26(3): 351–366. DOI: https://doi.org/10.1137/1026073.
- Borwein, J. M., Borwein, P. B. (1984). Cubic and higher order algorithms for pi. Canad. Math. Bull. 27(4): 436–443.
- Borwein, J. M., Borwein, P. B. (1987). Pi and the AGM. New York: John Wiley and Sons.
- Borwein, J. M., Borwein, P. B., Bailey, D. H. (1989). Ramanujan, modular equations, and approximations to pi, or how to compute one billion digits of pi. Amer. Math. Monthly. 96(3): 201–219. DOI: https://doi.org/10.1080/00029890.1989.11972169.
- Borwein, J. M., Chapman, S. T. (2015). I prefer pi: A brief history and anthology of articles in the American Mathematical Monthly. Amer. Math. Monthly. 122(3): 195–216.
- Borwein, J., Crandall, R., Fee, G. (2004). On the Ramanujan AGM fraction. Part I: the real-parameter case. Experimental Math. 13(3): 275–286. DOI: https://doi.org/10.1080/10586458.2004.10504540.
- Borwein, J., Crandall, R. (2004). On the Ramanujan AGM fraction. Part II: the complex-parameter case. Experimental Math. 13(3): 287–296. DOI: https://doi.org/10.1080/10586458.2004.10504541.
- Ferguson, H. R. P., Bailey, D. H., Arno, S. (1999). Analysis of PSLQ, an integer relation finding algorithm. Math. Comp. 68(225): 351–369.
- Savin, G., Quarfoot, D. (2010). On attaching coordinates of Gaussian prime torsion points of y2=x3+x to Q(i). www.math.utah.edu/∼savin/EllipticCurvesPaper.pdf