David William Boyd
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Canadian mathematician
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David William Boydmathematics Degrees
Mathematics
#2696
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#4111
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Number Theory
#127
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#168
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Algebra
#333
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#463
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Measure Theory
#2149
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#2592
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Mathematics
Why Is David William Boyd Influential?
(Suggest an Edit or Addition)According to Wikipedia, David William Boyd is a Canadian mathematician who does research on harmonic and classical analysis, inequalities related to geometry, number theory, and polynomial factorization, sphere packing, number theory involving Diophantine approximation and Mahler's measure, and computer computations.
David William Boyd's Published Works
Published Works
- On nonlinear contractions (1969) (1060)
- SERIES REPRESENTATIONS OF DISTRIBUTIONS OF QUADRATIC FORMS IN NORMAL VARIABLES, I. CENTRAL CASE, (1967) (225)
- Indices of Function Spaces and their Relationship to Interpolation (1969) (201)
- Speculations Concerning the Range of Mahler's Measure (1980) (181)
- Mahler's Measure and Special Values of L-functions (1998) (178)
- The Hilbert Transform on Rearrangement-Invariant Spaces (1967) (101)
- Indices for the Orlicz spaces. (1971) (92)
- Mahler’s Measure and the Dilogarithm (I) (2002) (91)
- The residual set dimension of the Apollonian packing (1973) (89)
- On the beta expansion for Salem numbers of degree 6 (1996) (65)
- Kronecker's theorem and Lehmer's problem for polynomials in several variables (1981) (63)
- Reciprocal polynomials having small measure. II (1980) (62)
- BEST CONSTANTS IN A CLASS OF INTEGRAL INEQUALITIES (1969) (62)
- Multiple Roots of [−1, 1] Power Series (1998) (60)
- The sequence of radii of the Apollonian packing (1982) (57)
- Pisot and Salem numbers in intervals of the real line (1978) (56)
- The Osculatory Packing of a Three Dimensional Sphere (1973) (56)
- Spaces between a pair of reflexive Lebesgue spaces (1967) (48)
- On a problem of Byrnes concerning polynomials with restricted coefficients, II (1997) (48)
- A p-adic Study of the Partial Sums of the Harmonic Series (1994) (46)
- Small Salem numbers (1977) (44)
- On the exponent of the ideal class groups of complex quadratic fields. (1972) (39)
- Improved bounds for the disk-packing constant (1973) (38)
- The power method for lp norms (1974) (38)
- A new class of infinite sphere packings (1974) (33)
- The maximal modulus of an algebraic integer (1985) (32)
- Sharp Inequalities for the Product of Polynomials (1994) (30)
- Two sharp inequalities for the norm of a factor of a polynomial (1992) (30)
- On beta expansions for Pisot numbers (1996) (29)
- Small Limit Points of Mahler's Measure (2005) (26)
- Irreducible polynomials with many roots of maximal modulus (1994) (25)
- Perron units which are not Mahler measures (1986) (24)
- Schur's Algorithm for Bounded Holomorphic Functions (1979) (24)
- The disk-packing constant (1971) (23)
- Pisot Numbers in the Neighbourhood of a Limit Point, I (1985) (22)
- An extension of Opial's inequality (1967) (22)
- Variations on a Theme of Kronecker (1978) (21)
- Power series with restricted coefficients and a root on a given ray (1998) (20)
- Uniform Approximation to Mahler’s Measure in Several Variables (1998) (20)
- An Integral Inequality (D. J. Newman) (1970) (20)
- On the Exponent of an Osculatory Packing (1971) (19)
- The spectral radius of averaging operators (1968) (19)
- Reciprocal Polynomials Having Small Measure (2010) (19)
- Squarefree values of trinomial discriminants (2014) (19)
- Lower Bounds for Nonparametric Density Estimation Rates (1978) (18)
- TRANSCENDENTAL NUMBERS WITH BADLY DISTRIBUTED POWERS (1969) (18)
- The Asymptotic Number of Solutions of a Diophantine Equation from Coding Theory (1975) (18)
- Best constants in inequalities related to Opial's inequality (1969) (16)
- Random exchanges of information (1979) (16)
- Lower Bounds for the Disk Packing Constant (1970) (15)
- Inequalities for positive integral operators (1971) (14)
- A Characterization of Two Related Classes of Salem Numbers (1995) (14)
- Reciprocal Algebraic Integers Whose Mahler Measures are Non-Reciprocal (1987) (14)
- Pisot sequences which satisfy no linear recurrence II (1977) (13)
- An Algorithm for Generating the Sphere Coordinates in a Three-Dimensional Osculatory Packing (1973) (13)
- Diophantine Analysis: Inverse problems for Mahler's measure (1986) (12)
- Pisot numbers in the neighborhood of a limit point. II (1984) (11)
- Bounds for the Height of a Factor of a Polynomial in Terms of Bombieri's Norms: I. The Largest Factor (1993) (11)
- Osculatory Packings by Spheres (1970) (11)
- Nonconvergence in Bairstow’s Method (1977) (10)
- The asymptotic behaviour of the binomial circulant determinant (1982) (10)
- On the Use of Symbolic Computation in Undergraduate Microeconomics Instruction (1998) (10)
- The Diophantine equation $u(u+1)(u+2)(u+3)=v(v+1)(v+2)$. (1972) (8)
- Bounds for the Height of a Factor of a Polynomial in Terms of Bombieri's Norms: II. The Smallest Factor (1993) (8)
- Monotone subsequences in the sequence of fractional parts of multiples of an irrational. (1979) (8)
- Which Rationals are Ratios of Pisot Sequences? (1985) (7)
- A Class of Operators on the Lorentz Space M(ϕ) (1967) (7)
- Mahler’s measure and special values of L-functions — some conjectures (1999) (7)
- Limit Points of the Salem Numbers (1990) (6)
- Transcendence degree in power series rings (1979) (5)
- The order type of the set of Pisot numbers (1996) (5)
- Disk Packings which have Non-Extreme Exponents (1972) (4)
- Large factors of small polynomials (1994) (4)
- The New Microcomputer Development Technology: Implications for the Economics Instructor and Software Author. (1993) (4)
- Composition operators onHp(A) (1976) (4)
- Diophantine Analysis: Large Newman polynomials (1986) (4)
- On linear recurrence relations satisfied by Pisot sequences (1986) (4)
- Another Proof of the Contraction Mapping Principle (1968) (2)
- On the successive derived sets of the Pisot numbers (1979) (2)
- Some integer sequences related to Pisot sequences (1979) (2)
- Vertical restraints with heterogeneous retailers (1991) (2)
- Monotone Semigroups of Operators on Cones* (1969) (2)
- The Diophantine Equation x2 + ym = z2n (1988) (2)
- SIMP for Complex Structures (2016) (2)
- Computing as a general education requirement (2000) (1)
- Supplement to The Maximal Modulus of an Algebraic Integer (1985) (1)
- Improved bound for the disk-packing constant (1973) (1)
- The diophantine equation x 2 + y m = z 2n , addendum (1990) (0)
- Optical scanner with different resolutions (1999) (0)
- On linear recurrence relations satisfied by Pisot sequences - Addenda and errata (1990) (0)
- The disk-packing constant (1971) (0)
- The Diophantine Equation x2 + ym = z2n, Addendum (1990) (0)
- Reviews (2004) (0)
- Best Approximation of Real Numbers by Pisot Numbers (2017) (0)
- Advanced Problems: 5575,5610-5619 (1968) (0)
- Motion control system, which includes both a step motor and a direct current motor (2003) (0)
- The diophantine equation x 2 + Y M = z {2 n } (1988) (0)
- The C preprocessor and Jensen's device (1990) (0)
- Apparatus and method for image scanning (1990) (0)
- Supplement to Reciprocal Polynomials having Small Measure. II (1989) (0)
- Method for accurately positioning scanner in y-position (1992) (0)
- Simultaneous scanning of opposite sides of a document. (2001) (0)
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