David Borwein

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All published works

Action	Title	Year	Authors
+	Symmetry and the Monotonicity of Certain Riemann Sums	2020	David Borwein Jonathan M. Borwein Brailey Sims
+	On the Solution of Linear Mean Recurrences	2014	David Borwein Jonathan M. Borwein Brailey Sims
+	On lattice sums and Wigner limits	2014	David Borwein Jonathan M. Borwein Armin Straub
+	Deriving New Sinc Results from Old	2014	David Borwein Jonathan M. Borwein
+	On lattice sums and Wigner limits	2013	David Borwein Jonathan M. Borwein Armin Straub
+	On Eulerian log-gamma integrals and Tornheim–Witten zeta functions	2013	David H. Bailey David Borwein Jonathan M. Borwein
+	On lattice sums and Wigner limits	2013	David Borwein Jonathan M. Borwein Armin Straub
+ PDF Chat	CRITERIA FOR THE SEQUENCE OF DIFFERENCES OF A BOUNDED SEQUENCE TO BE NULL	2012	David Borwein
+ PDF Chat	On formulas for π experimentally conjectured by Jauregui–Tsallis	2012	Tewodros Amdeberhan David Borwein Jonathan M. Borwein Armin Straub
+ PDF Chat	Log-Sine Evaluations of Mahler Measures, II	2012	David Borwein Jonathan M. Borwein Armin Straub J. G. Wan
+	A Sinc that Sank	2012	David Borwein Jonathan M. Borwein Armin Straub
+	On formulas for experimentally conjectured by	2012	Tewodros Amdeberhan David Borwein Jonathan M. Borwein Armin Straub
+	Moments of Ramanujanʼs generalized elliptic integrals and extensions of Catalanʼs constant	2011	David Borwein Jonathan M. Borwein M. L. Glasser J. G. Wan
+	Log-sine evaluations of Mahler measures, II	2011	David Borwein Jonathan M. Borwein Armin Straub J. G. Wan
+	L<sub><em>p</em></sub> Norms and the Sinc Function	2010	David Borwein Jonathan M. Borwein I. E. Leonard
+	A Trig-Of-Trig Inequality: 11309.	2009	Roman Witula Damian Słota Arman Darbinyan David Borwein
+ PDF Chat	Surprising Sinc Sums and Integrals	2008	Robert Baillie David Borwein Jonathan M. Borwein
+	Hypergeometric Forms for Ising-Class Integrals - eScholarship	2008	David H. Bailey David Borwein Jonathan M. Borwein Richard E. Crandall
+ PDF Chat	Effective Laguerre Asymptotics	2008	David Borwein Jonathan M. Borwein Richard E. Crandall
+	The evaluation of Bessel functions via exp-arc integrals	2007	David Borwein Jonathan M. Borwein O-Yeat Chan
+ PDF Chat	van der Pol Expansions of L-Series	2007	David Borwein Jonathan M. Borwein
+	On the dynamics of certain recurrence relations	2006	David Borwein Jonathan M. Borwein Richard E. Crandall Ray Mayer
+ PDF Chat	Weighted Convolution Operators on ℓ<i><sub>p</sub></i>	2005	David Borwein Werner Kratz
+ PDF Chat	Parametric Euler sum identities	2005	David Borwein Jonathan M. Borwein David M. Bradley
+	Convex and Concave Functions: 11009	2005	David Borwein Julien Grivaux
+ PDF Chat	Finding and Excluding <i>b</i>-ary Machin-Type Individual Digit Formulae	2004	Jonathan M. Borwein David Borwein William F. Galway
+	A one-sided Tauberian theorem for the Borel summability method	2004	David Borwein Werner Kratz
+	Finding and Excluding b-ary Machin-Type BBP Formulae	2004	Jonathan M. Borwein William F. Galway David Borwein
+	None	2002	David Borwein Jonathan M. Borwein Bernard A. Mares
+ PDF Chat	One-Sided Tauberian Theorems for Dirichlet Series Methods of Summability	2001	David Borwein Werner Kratz Ulrich Stadtmüller
+ PDF Chat	Refined convexity and special cases of the Blaschke-Santalo inequality	2001	David Borwein Jonathan M. Borwein G. J. Fee Roland Girgensohn
+	None	2001	David Borwein Jonathan M. Borwein
+ PDF Chat	Weighted Mean Operators on <i>l<sub>p</sub></i>	2000	David Borwein
+ PDF Chat	Simple Conditions for Matrices to be Bounded Operators on <i>l<sub>p</sub></i>	1998	David Borwein
+ PDF Chat	Convergence of Madelung-like lattice sums	1998	David Borwein Jonathan M. Borwein Christopher Pinner
+	Approximate subgradients and coderivatives in R n	1996	David Borwein Jonathan M. Borwein Xianfu Wang
+	Matrix transformations of series of orthogonal polynomials	1995	David Borwein Peter Borwein Ammon Jakimovski
+ PDF Chat	Explicit evaluation of Euler sums	1995	David Borwein Jonathan M. Borwein Roland Girgensohn
+ PDF Chat	On an intriguing integral and some series related to $\zeta(4)$	1995	David Borwein Jonathan M. Borwein
+ PDF Chat	On an Intriguing Integral and Some Series Related to ζ(4)	1995	David Borwein Jonathan M. Borwein
+ PDF Chat	Matrix Operators on <i>l<sub>p</sub></i> to <i>l<sub>q</sub></i>	1994	David Borwein Xiaopeng Gao
+	On Some Trigonometric and Exponential Lattice Sums	1994	David Borwein Jonathan M. Borwein
+	Matrix Transformations of Power Series	1994	David Borwein A. Jakimovski
+	Weighted Means and Summability by Generalized Nörlund and Other Methods	1994	David Borwein Rüdiger Kiesel
+	An <i>O</i>-Tauberian theorem and a high indices theorem for power series methods of summability	1994	David Borwein Werner Kratz
+ PDF Chat	Matrix transformations of power series	1994	David Borwein A. Jakimovski
+	Generalized Hausdorff and Weighted Mean Matrices as Operators on lp	1993	David Borwein Xiaoman Gao
+ PDF Chat	Nörlund Operators On <i>l<sub>p</sub></i>	1993	David Borwein
+	Tauberian theorems concerning power series with non-negative coefficients	1992	David Borwein
+ PDF Chat	A Tauberian Theorem Concerning Borel-Type and Riesz Summability Methods	1992	David Borwein
+ PDF Chat	The nonlocal nature of the summability of Fourier series by certain absolute Riesz methods	1992	David Borwein
+	Weighted means and summability by the circle and other methods	1992	David Borwein Tom Markovich
+ PDF Chat	The Nonlocal Nature of the Summability of Fourier Series by Certain Absolute Riesz Methods	1992	David Borwein
+	Fixed point iterations for real functions	1991	David Borwein Jonathan M. Borwein
+	Asymptotic relationships between Dirichlet series	1990	David Borwein
+ PDF Chat	An Inculsion Theorem for Dirichlet Series	1989	David Borwein
+	Tauberian theorems concerning Laplace transforms and Dirichlet series	1989	David Borwein
+	Analysis of certain lattice sums	1989	David Borwein Jonathan M. Borwein R. Shail
+	A Tauberian theorem concerning Dirichlet series	1989	David Borwein
+	On relations between weighted mean and power series methods of summability	1989	David Borwein Werner Kratz
+	On strong generalized Hausdorff summability	1989	David Borwein F. P. Cass John Edward Sayre
+	Enumeration of injective partial transformations	1989	David Borwein S. A. Rankin Lex E. Renner
+	Cesaro and Borel-Type Summability	1988	David Borwein Tom Markovich
+ PDF Chat	A Tauberian Theorem Concerning Borel-Type and Cesàro Methods of Summability	1988	David Borwein Tom Markovich
+ PDF Chat	Cesàro and Borel-type summability	1988	David Borwein Tom Markovich
+	Tauberian and other theorems concerning Dirichlet's series with non-negative coefficients	1987	David Borwein
+	A Tauberian theorem concerning weighted means and power series	1987	David Borwein A. Meir
+	On generalized Hausdorff matrices	1986	David Borwein F. P. Cass John Edward Sayre
+ PDF Chat	A Note on Alternating Series in Several Dimensions	1986	David Borwein Jonathan M. Borwein
+	On absolute generalized Hausdorff summability	1986	David Borwein F. P. Cass John Edward Sayre
+ PDF Chat	On Cesàro and Abel Summability Factors for Integrals	1986	David Borwein B. Thorpe
+	Conditions for inclusion between Nörlund summability methods	1985	David Borwein B. Thorpe
+	A Generalized Arithmetic-Geometric Mean	1984	David Borwein
+	N�rlund matrices as bounded operators onl p	1984	David Borwein F. P. Cass
+	3. I find the assumptions of nonstandard analysis even less obviously true than those of standard analysis. So nonstandard analysis does not strike me as a good method of proving results at an elementary stage, though it may be a good method of discovering them.	1984	Gerald L. Alexanderson David Borwein Herazo Mejía Edgar Dale H. Mugler Emory P. Starke Vincent M. Bruno F. S. Cater G. D. Chakerian A. M. Dawes Michael J. Dixon
+	Generalized Hausdorff matrices as bounded operators onl p	1983	David Borwein
+ PDF Chat	Transformations of certain sequences of random variables by generalized Hausdorff matrices	1983	David Borwein A. Jakimovski
+	On Summability Factors for the Strong Cesaro Method for Integrals	1982	David Borwein K. Roberts
+ PDF Chat	Tauberian theorems between the logarithmic and Abel-type summability methods	1982	David Borwein Bruce Watson
+ PDF Chat	Tauberian Conditions for the Equivalence of Weighted Mean and Power Series Methods of Summability	1981	David Borwein
+ PDF Chat	Generalization of the Hausdorff Moment Problem	1981	David Borwein A. Jakimovski
+ PDF Chat	On the Relation between the Logarithmic and Borel-Type Summability Methods	1981	David Borwein Bruce A. Watson
+	Matrix Transformations of Weakly Multiplicative Sequences of Random Variables	1981	David Borwein
+	Weighted means, generalised Hausdorff matrices and the borel property	1981	David Borwein F. P. Cass
+ PDF Chat	Translates of Sequences in Sets of Positive Measure	1978	David Borwein Seymour Z. Ditor
+ PDF Chat	The Hausdorff Moment Problem	1978	David Borwein
+ PDF Chat	A Sum of Reciprocals of Least Common Multiples	1978	David Borwein
+ PDF Chat	On Certain Sequences of Plus and Minus Ones	1978	David Borwein Wolfgang Gawronski
+ PDF Chat	Tauberian Theorems for Strong and Absolute Borel-Type Methods of Summability<sup>(1)</sup>	1977	David Borwein E. Smet
+ PDF Chat	On the Zeros of the Power Series with an Application to Discontinuous Riesz-Summability	1976	David Borwein W. Kratz
+ PDF Chat	On Functional Cesàro And Hölder Methods of Summability	1976	David Borwein Bruce Shawyer
+	A Tauberian theorem for Abelian summability methods.	1976	David Borwein Bruce A. Watson
+	Equivalence of Riesz Methods of Summability	1976	David Borwein F. P. Cass
+ PDF Chat	Addendum to “Tauberian Theorems for Borel-Type Methods of Summability”	1976	David Borwein E. Smet
+ PDF Chat	Tauberian Theorems for Borel-Type Methods of Summability	1974	David Borwein E. Smet
+ PDF Chat	Convergence criteria for bounded sequences	1972	David Borwein
+	Divergence Criteria for Positive Series	1972	David Borwein A. Meir
+	On Riesz and Generalised Cesàro Summability	1970	David Borwein
+ PDF Chat	On absolute Borel-type methods of summability	1970	David Borwein
+ PDF Chat	Scales of Logarithmic Methods of Summability	1969	David Borwein R. Phillips
+	A Property of Gradients	1969	David Borwein A. Meir
+ PDF Chat	A Tauberian Theorem for Borel-Type Methods of Summability	1969	David Borwein
+	Multiplication theorems for strong N�rlund summability	1968	David Borwein F. P. Cass
+	Strong N�rlund summability	1968	David Borwein F. P. Cass
+ PDF Chat	On Borel-type methods, II	1967	David Borwein Bruce Shawyer
+ PDF Chat	Correction: ``On Borel-type methods''	1967	David Borwein Bruce Shawyer
+	On Riesz and generalised Ces�ro summability of arbitrary positive order	1967	David Borwein Dennis C. Russell
+	On a Method of Summability Equivalent to the Cesàro Method	1967	David Borwein
+ PDF Chat	On a generalised Cesàro summability method of integral order	1966	David Borwein
+ PDF Chat	On Borel-type methods	1966	David Borwein Bruce Shawyer
+	On Strong Riesz Summability Factors	1965	David Borwein Bruce Shawyer
+	Linear Functionals Connected with Strong Cesàro Summability	1965	David Borwein
+	On a Class of Convergent Series of Positive Terms	1965	David Borwein
+	On Absolute Riesz Summability Factors	1964	David Borwein Bruce Shawyer
+	On Multiplication of Cesaro Summable Series	1963	David Borwein Yasushi Matsuoka
+	On Riesz summability factors	1962	David Borwein Bruce Shawyer
+ PDF Chat	Nörlund Methods of Summability Associated with Polynomials	1960	David Borwein
+	On Methods of Summability Based on Integral Functions. II	1960	David Borwein
+	Relations between Borel-Type Methods of Summability	1960	David Borwein
+ PDF Chat	On Strong and Absolute Summability	1960	David Borwein
+ PDF Chat	An extension of a theorem on the equivalence between absolute Rieszian and absolute Cesàro summability	1959	David Borwein
+	The effect of boundary conditions and mesh size on the accuracy of finite difference solutions of two-point boundary problems	1959	David Borwein A. R. Mitchell
+ PDF Chat	Binary and Ternary Transformations of Sequences	1959	David Borwein A. V. Boyd
+	On methods of summability based on integral functions	1959	David Borwein
+	On Borel‐type methods of summability	1958	David Borwein
+	On Multiplication of (<i>C</i> , -μ)-Summable Series	1958	David Borwein
+	On Products of Sequences	1958	David Borwein
+	A Logarithmic Method of Summability	1958	David Borwein
+	THEOREMS ON SOME METHODS OF SUMMABILITY	1958	David Borwein
+	On a scale of Abel-type summability methods	1957	David Borwein
+	XXII.—On Methods of Summability Based on Power Series	1957	David Borwein
+	A Theorem on Riesz Summability	1956	David Borwein
+	On the Abscissae of Summability of a Dirichlet Series	1955	David Borwein
+	On the Absolute Summability of Stieltjes Integrals	1954	David Borwein
+	Integration by Parts of Cesàro Summable Integrals	1954	David Borwein
+	Note on Summability Factors	1954	David Borwein
+	On the Absolute Cesàro Summability of Integrals	1951	David Borwein
+	A Summability Factor Theorem	1950	David Borwein
+	On the Cesàro Summability of Integrals	1950	David Borwein

Common Coauthors

Coauthor	Papers Together
Jonathan M. Borwein	35
F. P. Cass	8
Armin Straub	8
Bruce Shawyer	7
Werner Kratz	5
Tom Markovich	4
A. Jakimovski	4
E. Smet	3
A. Meir	3
J. G. Wan	3
Richard E. Crandall	3
John Edward Sayre	3
David H. Bailey	2
Tewodros Amdeberhan	2
B. Thorpe	2
Bruce A. Watson	2
Roland Girgensohn	2
Brailey Sims	2
William F. Galway	2
Ray Mayer	1
Xiaoman Gao	1
Peter Borwein	1
Dennis C. Russell	1
Emory P. Starke	1
Edward T. H. Wang	1
Markus Grassl	1
Rüdiger Kiesel	1
Lex E. Renner	1
Wolfgang Gawronski	1
Dale H. Mugler	1
Clark R. Givens	1
Christopher Pinner	1
S. A. Rankin	1
Julien Grivaux	1
Albert Wilansky	1
Daniel J. Kleitman	1
Richard A. Gibbs	1
G. D. Chakerian	1
K. Roberts	1
Xiaopeng Gao	1
Elgin Johnston	1
I. N. Herstein	1
David M. Bradley	1
Robert Baillie	1
Underwood Dudley	1
F. S. Cater	1
Cecília Reis	1
Robert H. Johnson	1
Louise E. Moser	1
R. Shail	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	An Introduction to Classical Real Analysis.	1983	Alberto Torchinsky Karl Stromberg	12
+ PDF Chat	Tauberian Conditions for the Equivalence of Weighted Mean and Power Series Methods of Summability	1981	David Borwein	8
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.	6
+	Relations between Borel-Type Methods of Summability	1960	David Borwein	6
+	None	2001	David Borwein Jonathan M. Borwein	5
+	Tauberian and other theorems concerning Dirichlet's series with non-negative coefficients	1987	David Borwein	5
+	Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity	2011	Jonathan M. Borwein Peter Borwein	5
+ PDF Chat	A Tauberian theorem for $\left( {J,p_n} \right)$ summability	1964	Kazuo Ishiguro	5
+	None	2002	David Borwein Jonathan M. Borwein Bernard A. Mares	4
+ PDF Chat	On Strong and Absolute Summability	1960	David Borwein	4
+	On Hausdorff's methods of summability	1942	W. W. Rogosinski	4
+	On Methods of Summability Based on Integral Functions. II	1960	David Borwein	4
+	A Tauberian theorem concerning weighted means and power series	1987	David Borwein A. Meir	4
+	On methods of summability based on integral functions	1959	David Borwein	4
+	Polylogarithms and Associated Functions	1981	L. Lewin	4
+	Mathematics by experiment: plausible reasoning in the 21st century	2005	Jonathan M. Borwein	4
+ PDF Chat	A Tauberian Theorem Concerning Borel-Type and Cesàro Methods of Summability	1988	David Borwein Tom Markovich	3
+	Some relations between certain methods of summation of infinite series	1942	I. J. Good	3
+	The Convergence Fields of Nörlund Means	1965	Walter Miesner	3
+	Special values of multiple polylogarithms	2000	Jonathan M. Borwein David M. Bradley D.J. Broadhurst Petr Lisoněk	3
+ PDF Chat	Lectures on Summability	1969	A. Peyerimhoff	3
+ PDF Chat	Orthogonal Polynomials	1971		3
+	THIRTY-TWO GOLDBACH VARIATIONS	2006	Jonathan M. Borwein David M. Bradley	3
+ PDF Chat	Generalization of the Hausdorff Moment Problem	1981	David Borwein A. Jakimovski	3
+	Analysis of certain lattice sums	1989	David Borwein Jonathan M. Borwein R. Shail	3
+ PDF Chat	On Borel-type methods	1966	David Borwein Bruce Shawyer	3
+ PDF Chat	An introduction to the theory of numbers	1960	G. H. Hardy	3
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	3
+	N�rlund matrices as bounded operators onl p	1984	David Borwein F. P. Cass	3
+	Asymptotics and Special Functions	1997	F. W. J. Olver	3
+	On a scale of Abel-type summability methods	1957	David Borwein	3
+	On a Method of Summability Equivalent to the Cesàro Method	1967	David Borwein	3
+ PDF Chat	Tauberian theorems on a scale of Abel-type summability methods.	1978	Bruce Watson	3
+	An Inequality for Hausdorff Means	1943	G. H. Hardy	3
+	Catalan's conjecture: are 8 and 9 the only consecutive powers?	1994	Paulo Ribenboim	2
+ PDF Chat	Explicit results for all orders of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ɛ</mml:mi></mml:math>expansion of certain massive and massless diagrams	2000	A. I. Davydychev	2
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	2
+	Primitive divisors of the expression An - Bn in algebraic number fields.	1974	Andrzej Schinzel	2
+ PDF Chat	New results for the ε-expansion of certain one-, two- and three-loop Feynman diagrams	2001	A. I. Davydychev M.Yu. Kalmykov	2
+	Summability of power series by non-regular Nörlund-methods	1992	Karin Stadtmüller	2
+	The Little Book of Big Primes	1991	Paulo Ribenboim	2
+ PDF Chat	On the Ramanujan AGM Fraction, II: The Complex-Parameter Case	2004	Jonathan M. Borwein Richard E. Crandall	2
+ PDF Chat	Prime Numbers and Computer Methods for Factorization	1985	Hans Riesel	2
+	Hecke's Theory of Modular Forms and Dirichlet Series	2007	Bruce C. Berndt Marvin I. Knopp	2
+ PDF Chat	On the Random Character of Fundamental Constant Expansions	2001	David H. Bailey Richard E. Crandall	2
+ PDF Chat	Massive Feynman diagrams and inverse binomial sums	2004	A. I. Davydychev M.Yu. Kalmykov	2
+	Some More Theorems Concerning the Absolute Summability of Fourier Series and Power Series	1958	T. M. Flett	2
+	A Logarithmic Method of Summability	1958	David Borwein	2
+ PDF Chat	On finite-rowed systems of linear inequalities in infinitely many variables. II	1933	I. J. Schoenberg	2
+ PDF Chat	The Borel property of summability methods	1951	Jordan Hill	2