Peter B. Borwein

A VARIANT OF LIOUVILLE’S LAMBDA FUNCTION: SOME SURPRIZING FORMULAE Abstract. Let (2009)

Peter B. Borwein, Stephen, K. K. Choi

λ3(n) = (−1) ω3(n) where ω3(n) is the number of distinct prime factors congruent to −1 mod 3 in n (with multiple factors counted multiply). We give explicit closed form evaluations of the...

on p. viii.) (2008)

Bb Jonathan M. Borwein, Peter B. Borwein, Bb Jonathan M. Borwein, David H. Bailey, Mathematics Experiment, Bbg Jonathan M. Borwein, ...

[Bai00] David H. Bailey, A compendium of BPP-type formulas for mathematical constants, manuscript, November 2000,

A Pamphlet on Pi serving as a Supplement for the Third Edition of (2007)

Pi A Source Book, J. Lennart Berggren, Jonathan M. Borwein, Peter B. Borwein

Our aim in preparing this pamphlet is to bring the material in the collection of papers in the second edition of our Pi: A Source Book [9] up to date. Moreover, several delightful pieces came...

EDITED BY (2004)

Randolph E. Bank, Christine Bernardi, Peter B. Borwein, David W. Boyd, Susanne C. Brenner, Richard P. Brent, ...

Available electronically at www.ams.org/mcom/ Mathematics of Computation This journal is devoted to research articles of the highest quality in computational mathematics. Areas covered include...

EDITED BY (2004)

Randolph E. Bank, Christine Bernardi, Peter B. Borwein, David W. Boyd, Susanne C. Brenner, Richard P. Brent, ...

Available electronically at www.ams.org/mcom/ Mathematics of Computation This journal is devoted to research articles of the highest quality in computational mathematics. Areas covered include...

Pi, a Sourcebook (1997)

Berggren, John Lennart (ed.), Borwein, Jonathan M. (ed.), Borwein, Peter B. (ed.)

Colección de textos que representa un extenso recuento sobre la noción matemática de Pi, desde el nacimiento de esta ciencia hasta el presente.

Pi : A Sourcebook / Ed. de J.L. Berggren, J.M. Borwein, P.B. Borwein. (1997)

Berggren, John Lennart (ed.), Borwein, Jonathan M. (ed.), Borwein, Peter B. (ed.)

Colección de textos que representa un extenso recuento sobre la noción matemática de Pi , desde el nacimiento de esta ciencia hasta el presente.

The quest for pi (1997)

David H. Bailey, Jonathan M. Borwein, Peter B. Borwein, Simon Plouffe

Ref: Mathematical Intelligencer, vol. 19, no. 1 (Jan. 1997), pg. 50–57 This article gives a brief history of the analysis and computation of the mathematical constant π = 3.14159..., including a...

The Quest for Pi David H. Bailey, Jonathan M. Borwein, Peter B. Borwein and Simon Plouffe June 25, 1996 (1997)

Ju Ne, David H. Bailey, Jonathan M. Borwein, Peter B. Borwein, Simon Plouffe

This article gives a brief history of the analysis and computation of the mathematical constant ß = 3:14159 : : :, including a number of the formulas that have been used to compute ß through the...

Mathematical (1997)

Intelligencer Vol, David H. Bailey, Jonathan M. Borwein, Peter B. Borwein, Simon Plouffe

This article gives a brief history of the analysis and computation of the mathematical constant ß = 3:14159 : : :, including a number of the formulas that have been used to compute ß through the...

The Quest for Pi (1996)

David H. Bailey, Peter B. Borwein, Peter B. Borwein, Simon Plouffe

This article gives a brief history of the analysis and computation of the mathematical constant ß = 3:14159 : : :, including a number of the formulas that have been used to compute ß through the...

Incomplete Rational Approximation in the Complex Plane (1995)

Peter B. Borwein, Weiyu Chen

We consider rational approximations of the form ae (1 + z) ffn+1 p cn (z) q n (z) oe in certain natural regions in the complex plane where p cn and q n are polynomials of degree cn and n...