Bibliography of the ISC

D. H. Bailey, P. B. Borwein and S. Plouffe, On The Rapid Computation of Various Polylogarithmic Constants , preprint, 1996. To be published in Mathematics of Computation.

J. M. Borwein and P. B. Borwein, Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity}, John Wiley, New York, 1987.

David H. Bailey, *
The
Computation of to 29,360,000 Decimal Digits Using Borweins'
Quartically Convergent Algorithm*

H. R. P. Ferguson and D. H. Bailey, Analysis of PSLQ, An Integer Relation Algorithm, manuscript, 1996. Available from author.

D. E. Knuth, *The Art of Computer Programming* ,vol. 2,
Addison-Wesley, Reading, MA, 1981.

D. Shanks and J. W. Wrench, *Calculation of Pi to 100,000
Decimals*, in Mathematics of Computation, vol. 16 (1962), pg.
76--79. **Table of 100,265 digits of Pi**.

Henrici, Peter Elements of numerical analysis. John Wiley & Sons, Inc., New York-London-Sydney 1964 xv+328 pp.

Milton Abramowitz and Irene A. Stegun. *Handbook of mathematical
functions with formulas, graphs, and mathematical tables*. Edited
by Reprint of the 1972 edition. Dover Publications, Inc.,New York,
1992. xiv+1046 pp. ISBN: 0-486-61272-4

Hansen, Eldon *Sums of functions satisfying recursion
relations*. Amer. Math. Monthly 88 (1981), no. 9, 676--679.

Hansen, Eldon, *A table of series and products*, Englewood
Cliffs, N.J. : Prentice-Hall, (1975), 523 p. This book contains more
than 5000 formulas.

*A
Polynomial Time,Numerically Stable Integer Relation
Algorithm*,by R. Helaman,P.Ferguson and D.H.Bailey RNR Technical
Report RNR-91-032 December,1991

Allouche, Jean-Paul; Arnold, André; Berstel, Jean; Brlek,
Sre\v cko; Jockusch, William; Plouffe, Simon; Sagan, Bruce E.
*A
relative of the Thue-Morse sequence*. Formal power series and
algebraic combinatorics (Montreal, PQ, 1992). Discrete Math. 139
(1995), no. 1-3, 455--461.

Sloane, N. J. A.; Plouffe, Simon The encyclopedia of integer sequences. With a separately available computer disk. Academic Press, Inc., San Diego, CA, 1995. xiv+587 pp. ISBN: 0-12-558630-2

Bergeron, François; Plouffe, Simon ,
*Computing the
generating function of a series given its first few terms*.
Experiment. Math. 1 (1992), no. 4, 307--312.

Pour la Science, french version of Scientific American,September 1994, page 25.

*The Quest for
Pi*, Peter Borwein, Jon Borwein, David H. Bailey, Simon
Plouffe, preprint 1996.

Program: **GFUN** , a maple package, in collaboration with
François Bergeron (UQAM), Bruno Salvy and Paul Zimmermann .
Most of the program was actually written by Salvy and Zimmermann.

*A method to
find the Algebraic Generating Function from a series*. SFCA
93, Florence, Italy, pp. 355-377. Proceedings of the 5th conference
on Formal Power Series and Algebraic Combinatorics.

Borwein, Jonathan, and Peter Borwein. 1990. A Dictionary of Real Numbers. Pacific Grove, Calif.: Wadsworth & Brooks/Cole.

R. E. Crandall, Topics in Advanced Scientific Computation, Springer/TELOS, New York, 1995.

Steve Finch, The favorite mathematical constants

The miraculous Bailey-Borwein-Plouffe Pi Algorithm

Recognizing Numerical Constants, by David H. Bailey and Simon M. Plouffe

Organic Mathematics, at the Center for Experimental & Constructive Mathematics

N. J. A. Sloane, The On-Line Encyclopedia of Integer Sequences

The Encyclopedia of Integer Sequences and the Sequence Server

*A
Passion for Pi* by Ivars Peterson

American Scientist ,
*A
Question of Numbers* by Brian hayes, Issue of Jan-Feb 96.

Pi: A 2000-Year Search Changes Direction, Stan Wagon and Victor Adamchik,

Plouffe constant, arctan(1/2)/Pi,

*Addition
Theorems and Binary expansion*, by Jon Borwein and Roland
Girgensohn.