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1

Ramanujan and Pi

Borwein, Jonathan M., Borwein, Peter B.

Journal:

Scientific American

Year:

1988

Language:

english

File:

PDF, 531 KB

english, 1988

2

On the Zeros of Cosine Polynomials: Solution to a Problem of Littlewood

P. Borwein, T. Erdélyi, R. Ferguson and R. Lockhart

Journal:

Annals of Mathematics

Year:

2008

Language:

english

File:

PDF, 530 KB

english, 2008

3

The quest for PI

David H. bailey, Simon M. plouffe, Peter B. borwein, Jonathan M. borwein

Journal:

The Mathematical Intelligencer

Year:

1997

Language:

english

File:

PDF, 2.55 MB

english, 1997

4

Some Remarkable Properties of Sinc and Related Integrals

David Borwein, Jonathan M. Borwein

Journal:

The Ramanujan Journal

Year:

2001

Language:

english

File:

PDF, 85 KB

english, 2001

5

Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi

J. M. Borwein, P. B. Borwein and D. H. Bailey

Journal:

American Mathematical Monthly

Year:

1989

Language:

english

File:

PDF, 1.58 MB

english, 1989

6

Surprising Sinc Sums and Integrals

Robert Baillie, David Borwein and Jonathan M. Borwein

Journal:

American Mathematical Monthly

Year:

2008

Language:

english

File:

PDF, 1006 KB

english, 2008

7

Muntz Systems and Orthogonal Muntz-Legendre Polynomials

Borwein, Peter, Erdelyi, Tamas, Zhang, John

Journal:

Transactions of the American Mathematical Society

Year:

1994

Language:

english

File:

PDF, 1.63 MB

english, 1994

8

Mathematical Appendices to: 'The Probability of Backtest Overfitting'

Bailey, David H., Borwein, Jonathan M., Lopez de Prado, Marcos, Zhu, Qiji Jim

Journal:

SSRN Electronic Journal

Year:

2015

Language:

english

File:

PDF, 533 KB

english, 2015

9

Computational strategies for the Riemann zeta function

Jonathan M. Borwein, David M. Bradley, Richard E. Crandall

Journal:

Journal of Computational and Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 302 KB

english, 2000

10

Walking on Real Numbers

Aragón Artacho, Francisco J., Bailey, David H., Borwein, Jonathan M., Borwein, Peter B.

Journal:

The Mathematical Intelligencer

Year:

2013

Language:

english

File:

PDF, 2.85 MB

english, 2013

11

Ten Problems in Experimental Mathematics

David H. Bailey, Jonathan M. Borwein, Vishaal Kapoor and Eric W. Weisstein

Journal:

American Mathematical Monthly

Year:

2006

Language:

english

File:

PDF, 2.48 MB

english, 2006

12

Mathematics by experiment. Plausible reasoning in the 21st century Experimentation in mathematics. Computational paths to discovery

Jonathan Borwein, David Bailey, Roland Girgensohn, Henri Cohen

Journal:

The Mathematical Intelligencer

Year:

2005

Language:

english

File:

PDF, 247 KB

english, 2005

13

On Projection Algorithms for Solving Convex Feasibility Problems

Bauschke, Heinz H., Borwein, Jonathan M.

Journal:

Year:

1996

Language:

english

File:

PDF, 6.40 MB

english, 1996

14

Two-Point Step Size Gradient Methods

BARZILAI, JONATHAN, BORWEIN, JONATHAN M.

Journal:

IMA Journal of Numerical Analysis

Year:

1988

Language:

english

File:

PDF, 358 KB

english, 1988

15

Lehmer's Problem for Polynomials with Odd Coefficients

Peter Borwein, Edward Dobrowolski and Michael J. Mossinghoff

Journal:

Annals of Mathematics

Year:

2007

Language:

english

File:

PDF, 1.38 MB

english, 2007

16

Pi, Euler Numbers, and Asymptotic Expansions

J. M. Borwein, P. B. Borwein and K. Dilcher

Journal:

American Mathematical Monthly

Year:

1989

Language:

english

File:

PDF, 596 KB

english, 1989

17

Emerging Tools for Experimental Mathematics

Jonathan M. Borwein and Robert M. Corless

Journal:

American Mathematical Monthly

Year:

1999

Language:

english

File:

PDF, 1.94 MB

english, 1999

18

Ancient Indian Square Roots: An Exercise in Forensic Paleo-Mathematics

David H. Bailey, Jonathan M. Borwein

Journal:

American Mathematical Monthly

Year:

2012

Language:

english

File:

PDF, 944 KB

english, 2012

19

Advanced Problems: 6430-6435

J. Borwein, Gabor J. Szekely, Andras Zempleni, Michael Barr, Edmund Butler, Allen J. Schwenk and Thomas Q. Sibley

Journal:

American Mathematical Monthly

Year:

1983

Language:

english

File:

PDF, 243 KB

english, 1983

20

[CMS Books in Mathematics] The Riemann Hypothesis ||

Borwein, Peter, Choi, Stephen, Rooney, Brendan, Weirathmueller, Andrea

Year:

2008

Language:

english

File:

PDF, 30.52 MB

english, 2008

21

Generalized Trigonometric Functions: 10744

Peter Lindqvist, Jaak Peetre and Jonathan M. Borwein

Journal:

American Mathematical Monthly

Year:

2001

Language:

english

File:

PDF, 156 KB

english, 2001

22

[CMS Books in Mathematics] The Riemann Hypothesis || Empirical Evidence

Borwein, Peter, Choi, Stephen, Rooney, Brendan, Weirathmueller, Andrea

Year:

2008

Language:

english

File:

PDF, 1.38 MB

english, 2008

23

The Full Muntz Theorem in C[0, 1] and L1[0, 1]

Borwein, P., Erdelyi, T.

Journal:

Journal of the London Mathematical Society

Year:

1996

Language:

english

File:

PDF, 529 KB

english, 1996

24

On an Intriguing Integral and Some Series Related to ζ(4)

David Borwein and Jonathan M. Borwein

Journal:

Proceedings of the American Mathematical Society

Year:

1995

Language:

english

File:

PDF, 183 KB

english, 1995

25

Nested Radicals

Borwein, Jonathan M., de Barra, G.

Journal:

American Mathematical Monthly

Year:

1991

Language:

english

File:

PDF, 471 KB

english, 1991

26

The Converse of the Mean Value Theorem May Fail Generically

Borwein, J. M., Wang, Xianfu

Journal:

American Mathematical Monthly

Year:

1998

Language:

english

File:

PDF, 298 KB

english, 1998

27

Pi: A Source Book || The Arithmetic-Geometric Mean of Gauss

Berggren, Lennart, Borwein, Jonathan, Borwein, Peter

Year:

2004

Language:

english

File:

PDF, 3.91 MB

english, 2004

28

On the rapid computation of various polylogarithmic constants

Bailey, David, Borwein, Peter, Plouffe, Simon

Journal:

Mathematics of Computation

Year:

1997

Language:

english

File:

PDF, 290 KB

english, 1997

29

A Class of Dirichlet Series Integrals

Jonathan M. Borwein

Journal:

American Mathematical Monthly

Year:

2007

Language:

english

File:

PDF, 577 KB

english, 2007

30

[Graduate Texts in Mathematics] Polynomials and Polynomial Inequalities Volume 161 ||

Borwein, Peter, Erdélyi, Tamás

Year:

1995

Language:

english

File:

PDF, 52.90 MB

english, 1995

31

Giuga's Conjecture on Primality

D. Borwein, J. M. Borwein, P. B. Borwein and R. Girgensohn

Journal:

American Mathematical Monthly

Year:

1996

Language:

english

File:

PDF, 295 KB

english, 1996

32

Closed Forms: What They Are and Why We Care

Borwein, Jonathan M., Crandall, Richard E.

Journal:

Notices of the American Mathematical Society

Year:

2013

Language:

english

File:

PDF, 3.71 MB

english, 2013

33

Multivalued convexity and optimization: A unified approach to inequality and equality constraints

Journal:

Mathematical Programming

Year:

1977

Language:

english

File:

PDF, 705 KB

english, 1977

34

A Sinc that Sank

David Borwein, Jonathan M. Borwein, Armin Straub

Journal:

American Mathematical Monthly

Year:

2012

Language:

english

File:

PDF, 320 KB

english, 2012

35

Pi Day Is Upon Us Again and We Still Do Not Know if Pi Is Normal

David H. Bailey, Jonathan Borwein

Journal:

American Mathematical Monthly

Language:

english

File:

PDF, 465 KB

english

36

THIRTY-TWO GOLDBACH VARIATIONS

BORWEIN, JONATHAN M., BRADLEY, DAVID M.

Journal:

International Journal of Number Theory

Year:

2006

Language:

english

File:

PDF, 416 KB

english, 2006

37

Pi: A Source Book || Approximations and complex multiplication according to Ramanujan

Berggren, Lennart, Borwein, Jonathan, Borwein, Peter

Year:

2000

Language:

english

File:

PDF, 1.55 MB

english, 2000

38

Divergence Criteria for Positive Series

D. Borwein and A. Meir

Journal:

American Mathematical Monthly

Year:

1972

Language:

english

File:

PDF, 291 KB

english, 1972

39

Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi

Borwein, J. M., Borwein, P. B., Bailey, D. H.

Journal:

American Mathematical Monthly

Year:

1989

Language:

english

File:

PDF, 1.18 MB

english, 1989

40

Classical and New Inequalities in Analysis, Mathematics and Its Applications (East European Series) Vol. 61, D. S. Mitrinović, J. E. Pěcarić and A. M. Fink, Kluwer Academic, 1993, xvii + 740 pp.

Journal:

Journal of Approximation Theory

Year:

1994

File:

PDF, 54 KB

1994

41

On the irrationality of Σ (1/(qn+r))

Peter B. Borwein

Journal:

Journal of Number Theory

Year:

1991

Language:

english

File:

PDF, 204 KB

english, 1991

42

A survey of subdifferential calculus with applications

Jonathan M. Borwein, Qiji J. Zhu

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1999

Language:

english

File:

PDF, 491 KB

english, 1999

43

A survey of Sylvester's problem and its generalizations

P. Borwein, W. O. J. Moser

Journal:

Aequationes Mathematicae

Year:

1990

Language:

english

File:

PDF, 1.27 MB

english, 1990

44

On Eulerian log-gamma integrals and Tornheim–Witten zeta functions

Bailey, David H., Borwein, David, Borwein, Jonathan M.

Journal:

The Ramanujan Journal

Year:

2015

Language:

english

File:

PDF, 771 KB

english, 2015

45

The Encyclopedia of Integer Sequences.by N. J. A. Sloane; Simon Plouffe

Review by: J. M. Borwein and R. M. Corless

Journal:

Year:

1996

Language:

english

File:

PDF, 594 KB

english, 1996

46

Monochrome Lines in the Plane

Borwein, Jonathan M.

Journal:

Mathematics Magazine

Year:

1979

Language:

english

File:

PDF, 491 KB

english, 1979

47

Visible Structures in Number Theory

Peter Borwein and Loki Jörgenson

Journal:

American Mathematical Monthly

Year:

2001

Language:

english

File:

PDF, 1.11 MB

english, 2001

48

Bregman Monotone Optimization Algorithms

Bauschke, Heinz H., Borwein, Jonathan M., Combettes, Patrick L.

Journal:

SIAM Journal on Control and Optimization

Year:

2003

Language:

english

File:

PDF, 395 KB

english, 2003

49

Zeros of Partial Sums of the Riemann Zeta Function

Borwein, Peter, Fee, Greg, Ferguson, Ron, van der Waall, Alexa

Journal:

Experimental Mathematics

Year:

2007

Language:

english

File:

PDF, 16.41 MB

english, 2007

50

A Property of Gradients

Journal:

American Mathematical Monthly

Year:

1969

Language:

english

File:

PDF, 295 KB

english, 1969

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