David Borwein
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Canadian mathematician
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David Borweinmathematics Degrees
Mathematics
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Measure Theory
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Mathematics
David Borwein's Degrees
- PhD Mathematics University of British Columbia
- Masters Mathematics University of British Columbia
- Bachelors Mathematics University of British Columbia
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Why Is David Borwein Influential?
(Suggest an Edit or Addition)According to Wikipedia, David Borwein was a Lithuanian-born Canadian mathematician, known for his research in the summability theory of series and integrals. He also did work in measure theory and probability theory, number theory, and approximate subgradients and coderivatives. He latterly collaborated with his son, Jonathan Borwein, and with B.A. Mares Jr. on the properties of single-variable and many-variable sinc integrals.
David Borwein's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Explicit evaluation of Euler sums (1995) (220)
- On an intriguing integral and some series related to (4) (1995) (115)
- The ultrastructure of monkey foveal photoreceptors, with special reference to the structure, shape, size, and spacing of the foveal cones. (1980) (83)
- Convergence of lattice sums and Madelung’s constant (1985) (80)
- Linear Functionals Connected with Strong Cesàro Summability (1965) (66)
- Some Remarkable Properties of Sinc and Related Integrals (2001) (60)
- Giuga's Conjecture on Primality (1996) (58)
- THEOREMS ON SOME METHODS OF SUMMABILITY (1958) (54)
- Parametric Euler sum identities (2005) (50)
- Fixed point iterations for real functions (1991) (49)
- Effective Laguerre Asymptotics (2008) (41)
- Tauberian theorems on a scale of Abel-type summability methods. (1957) (41)
- Translates of Sequences in Sets of Positive Measure (1978) (40)
- Analysis of certain lattice sums (1989) (39)
- On strong summability. (1973) (37)
- Surprising Sinc Sums and Integrals (2008) (36)
- Strong Nörlund summability (1968) (35)
- On Products of Sequences (1958) (35)
- A Logarithmic Method of Summability (1958) (33)
- Hypergeometric Forms for Ising-Class Integrals (2007) (31)
- Energy of static electron lattices (1988) (29)
- XXII.—On Methods of Summability Based on Power Series (1957) (29)
- Enumeration of injective partial transformations (1989) (28)
- On Strong and Absolute Summability (1960) (25)
- On Absolute Riesz Summability Factors (1964) (24)
- Moments of Ramanujanʼs generalized elliptic integrals and extensions of Catalanʼs constant (2011) (21)
- Finding and Excluding b-ary Machin-Type Individual Digit Formulae (2004) (21)
- Multi-Variable Sinc Integrals and Volumes of Polyhedra (2002) (19)
- Convergence of Madelung-like lattice sums (1998) (19)
- On relations between weighted mean and power series methods of summability (1989) (19)
- Refined Convexity and Special Cases of the Blaschke-Santalo Inequality (2001) (19)
- On methods of summability based on integral functions (1959) (19)
- On lattice sums and Wigner limits (2013) (18)
- Log-Sine Evaluations of Mahler Measures, II (2011) (18)
- On Eulerian log-gamma integrals and Tornheim–Witten zeta functions (2015) (17)
- Nörlund matrices as bounded operators onlp (1984) (17)
- Generalized Hausdorff matrices as bounded operators onlp (1983) (16)
- Finding and Excluding b-ary Machin-Type BBP Formulae (2004) (15)
- A Generalized Arithmetic-Geometric Mean (1983) (14)
- Relations between Borel-Type Methods of Summability (1960) (14)
- Nörlund Operators On lp (1993) (13)
- Lp Norms and the Sinc Function (2010) (13)
- Generalized Hausdorff and Weighted Mean Matrices as Operators on lp (1993) (13)
- ON BOREL-TYPE METHODS (1966) (13)
- On Riesz and generalised Cesàro summability of arbitrary positive order (1967) (13)
- The nonlocal nature of the summability of Fourier series by certain absolute Riesz methods (1992) (12)
- Tauberian Conditions for the Equivalence of Weighted Mean and Power Series Methods of Summability (1981) (12)
- A note on alternating series in several dimensions (1986) (12)
- A Tauberian theorem for Borel-type methods of summability. (1974) (12)
- On a Method of Summability Equivalent to the Cesàro Method (1967) (10)
- On the Abscissae of Summability of a Dirichlet Series (1955) (10)
- Convergence criteria for bounded sequences (1972) (10)
- Surprise Maximization (2000) (9)
- Approximate subgradients and coderivatives in Rn (1996) (9)
- On Borel-type methods of summability (1958) (9)
- A Tauberian theorem concerning weighted means and power series (1987) (8)
- An O-Tauberian theorem and a high indices theorem for power series methods of summability (1994) (8)
- A Tauberian Theorem Concerning Borel-Type and Cesàro Methods of Summability (1988) (8)
- On the Solution of Linear Mean Recurrences (2014) (8)
- On some trigonometric and exponential lattice sums (1994) (8)
- Matrix operations on $\ell^p$ (1979) (8)
- The evaluation of Bessel functions via exp-arc integrals (2008) (8)
- On a generalised Cesàro summability method of integral order (1966) (8)
- Tauberian and other theorems concerning Dirichlet's series with non-negative coefficients (1987) (8)
- A Sinc that Sank (2012) (7)
- Simple Conditions for Matrices to be Bounded Operators on lp (1998) (7)
- Matrix Operators on lp to lq (1994) (7)
- A Sum of Reciprocals of Least Common Multiples (1978) (7)
- A Tauberian Theorem for Borel-Type Methods of Summability (1969) (6)
- Note on Summability Factors (1954) (6)
- Tauberian theorems between the logarithmic and Abel-type summability methods. (1982) (5)
- A Summability Factor Theorem (1950) (5)
- Tauberian theorems concerning Laplace transforms and Dirichlet series (1989) (5)
- Generalization of the Hausdorff Moment Problem (1981) (5)
- On absolute generalized Hausdorff summability (1986) (5)
- On Certain Sequences of Plus and Minus Ones (1978) (4)
- Matrix transformations of power series (1994) (4)
- Nörlund Methods of Summability Associated with Polynomials (1960) (4)
- On generalized Hausdorff matrices (1986) (4)
- Cesàro and Borel-type summability (1988) (4)
- An extension of a theorem on the equivalence between absolute Rieszian and absolute Cesàro summability (1959) (4)
- lund matrices as bounded operators on lp (2005) (4)
- Binary and Ternary Transformations of Sequences (1959) (4)
- One-sided Tauberian theorems for Dirichlet series methods of summability (2001) (4)
- Multiplication theorems for strong Nörlund summability (1968) (4)
- On Multiplication of (C, —μ)‐Summable Series (1958) (4)
- On Borel-type methods, II (1967) (4)
- On Cesàro and Abel Summability Factors for Integrals (1986) (4)
- Matrix Transformations of Weakly Multiplicative Sequences of Random Variables (1981) (4)
- Weighted Means and Summability by Generalized Nörlund and Other Methods (1994) (3)
- On Strong Riesz Summability Factors (1965) (3)
- Addendum to “Tauberian Theorems for Borel-Type Methods of Summability” (1976) (3)
- On the Relation between the Logarithmic and Borel-Type Summability Methods (1981) (3)
- Conditions for inclusion between Nörlund summability methods (1985) (3)
- Weighted Mean Operators on lp (2000) (3)
- Book Review: Tauberian theory, a century of developments (2005) (3)
- On Abel-type methods of summability. (1971) (3)
- Weighted means, generalised Hausdorff matrices and the borel property (1981) (2)
- On the Cesàro Summability of Integrals (1950) (2)
- Strict inclusion between strong and ordinary methods of summability. (1974) (2)
- On a Class of Convergent Series of Positive Terms (1965) (2)
- A one-sided Tauberian theorem for the Borel summability method (2004) (2)
- On Summability Factors for the Strong Cesaro Method for Integrals (1982) (2)
- On Multiplication of Cesaro Summable Series (1963) (2)
- Weighted Convolution Operators on ℓ p (2005) (2)
- A Tauberian Theorem Concerning Borel-Type and Riesz Summability Methods (1992) (2)
- Problems: 10330-10337 (1993) (2)
- ON ABSOLUTE BOREL-TYPE METHODS OF SUMMABILITY (1970) (1)
- A Tauberian theorem for Abelian summability methods. (1976) (1)
- Deriving New Sinc Results from Old (2014) (1)
- A Tauberian theorem concerning Dirichlet series (1989) (1)
- A Non-Enumerable Exceptional Set (1966) (1)
- On Riesz and Generalised Cesàro Summability (1970) (1)
- Generalized strong summability of infinite series. (1975) (1)
- The effect of boundary conditions and mesh size on the accuracy of finite difference solutions of two-point boundary problems (1959) (1)
- On formulas for π experimentally conjectured by Jauregui–Tsallis (2012) (1)
- Scales of Logarithmic Methods of Summability (1969) (1)
- On Functional Cesàro And Hölder Methods of Summability (1976) (1)
- van der Pol Expansions of L-Series (2007) (1)
- On the Absolute Cesàro Summability of Integrals (1951) (1)
- A Trig-Of-Trig Inequality: 11309 (2009) (1)
- On the Zeros of the Power Series with an Application to Discontinuous Riesz-Summability (1976) (1)
- On the zeros of the power series $sum sp{infty }sb{n=0} (-1)sp{n}(1-csp{-n-1})sp{ksb{z}n}$ with an application to discontinuous Riesz-summability (1976) (1)
- A Theorem on Riesz Summability (1956) (1)
- An Inculsion Theorem for Dirichlet Series (1989) (1)
- Convex and Concave Functions: 11009 (2005) (1)
- The Hausdorff Moment Problem (1978) (0)
- Asymptotic relationships between Dirichlet series (1990) (0)
- On some intriguing sums involving $ \zeta$ (4) (1995) (0)
- Proof of experimentally conjectured formulas for π To the fine memories of (2012) (0)
- Symmetry and the Monotonicity of Certain Riemann Sums (2017) (0)
- On Riesz summability factors (1962) (0)
- Monotonicity of Certain Riemann Sums (2015) (0)
- Divergence Criteria for Positive Series (1972) (0)
- A Property of Gradients (1969) (0)
- MATRICES THAT COMMUTE WITH CERTAIN HAUSDORFF MATRICES (1998) (0)
- On the Absolute Summability of Stieltjes Integrals (1954) (0)
- Norms and the Sinc Function (2009) (0)
- Tauberian theorems concerning power series with non-negative coefficients (1992) (0)
- On formulas for experimentally conjectured by (2012) (0)
- Matrix transformations of series of orthogonal polynomials (1995) (0)
- CRITERIA FOR THE SEQUENCE OF DIFFERENCES OF A BOUNDED SEQUENCE TO BE NULL (2013) (0)
- On lattice sums and Wigner limits | NOVA. The University of Newcastle's Digital Repository (2014) (0)
- Fixed points of real functions revisited (1991) (0)
- Correction: ``On Borel-type methods'' (1967) (0)
- Hypergeometric Forms for Ising-Class Integrals - eScholarship (2008) (0)
- Equivalence of Riesz Methods of Summability (1976) (0)
- Weighted means and summability by the circle and other methods (1992) (0)
- Integration by Parts of Cesàro Summable Integrals (1954) (0)
- On Eulerian log-gamma integrals and Tornheim–Witten zeta functions (2013) (0)
- Tauberian Theorems for Strong and Absolute Borel-Type Methods of Summability(1) (1977) (0)
- TRANSFORMATIONS OF CERTAIN SEQUENCES OF RANDOM VARIABLES BY GENERALIZED HAUSDORFF MATRICES (1983) (0)
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