Remembering Peter Benjamin Borwein (May 10, 1953 -- August 23, 2020)

Cites Work

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On the roots of certain algebraic equations.
Computational excursions in analysis and number theory
Sur le diamètre transfini entier d'un intervalle réel. (On the transfinite integer diameter of a real interval)
Zeros of Chebyshev polynomials in Markov systems
The multivariate integer Chebyshev problem
Markov-Nikolskii type inequalities for exponential sums on finite intervals
Pseudo-Boolean functions and the multiplicity of the zeros of polynomials
Notes on approximation
Markov- and Bernstein-type inequalities for polynomials with restricted coefficients
Markov-Bernstein type inequalities for constrained polynomials with real versus complex coefficients
Derivative bounds for Müntz polynomials
Notes on lacunary Müntz polynomials
A Remez-type inequality for non-dense Müntz spaces with explicit bound
Markov-type inequalities for constrained polynomials with complex coefficients
Markov-Bernstein-type inequalities for classes of polynomials with restricted zeros
On the zeros of polynomials with restricted coefficients
Lower bounds for the merit factors of trigonometric polynomials from Littlewood classes.
Markov- and Bernstein-type inequalities for Müntz polynomials and exponential sums in \(L_p\)
Bernstein- and Markov-type inequalities for rational functions
Counting zeros of cosine polynomials: on a problem of Littlewood
Dense Markov spaces and unbounded Bernstein inequalities
Newman's inequality for Müntz polynomials on positive intervals
Full Müntz theorem in \(L_ p[0,1]\)
Questions about polynomials with \(\{ 0,-1,+1\}\) coefficients: Research problems 96-3
Pointwise Remez- and Nikolskii-type inequalities for exponential sums
The ``Full Müntz theorem revisited
On the zeros of cosine polynomials: solution to a problem of Littlewood
On the compactness of exponential sums
Untersuchungen über algebraische Gleichungen. I: Bemerkungen zu einem Satz von E. Schmidt.
On the distribution of roots of polynomials
Coppersmith-Rivlin type inequalities and the order of vanishing of polynomials at 1
The number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set
The multiplicity of the zero at 1 of polynomials with constrained coefficients
Nikolskii-type inequalities for shift invariant function spaces
Polynomials with coefficients from a finite set
Markov's Inequality for Polynomials with Real Zeros
The Growth of Polynomials Bounded at Equally Spaced Points
Littlewood-type problems on subarcs of the unit circle
Lacunary Müntz systems
Muntz Systems and Orthogonal Muntz-Legendre Polynomials
Müntz spaces and Remez inequalities
Chebyshev Polynomials and Markov-Bernstein Type Inequalities for Rational Spaces
Generalizations of Müntz’s Theorem via a Remez-type inequality for Müntz spaces
Sharp extensions of Bernstein's inequality to rational spaces
On a problem of Byrnes concerning polynomials with restricted coefficients
Monic integer Chebyshev problem
Extremal properties of the derivatives of the Newman polynomials
Littlewood-Type Problems on [0,1]
Trigonometric polynomials with many real zeros and a Littlewood-type problem
On Littlewood and Newman polynomial multiples of Borwein polynomials
The ``Full Clarkson–Erdős–Schwartz Theorem on the closure of non-dense Müntz spaces
The full Markov-Newman inequality for Müntz polynomials on positive intervals
Polynomials with Restricted Coefficients and Prescribed Noncyclotomic Factors
Upper Bounds for the Derivative of Exponential Sums
Markov and Bernstein type Inequalities in L _p for Classes of Polynomials with Constraints
The 𝐿_{𝑝} version of Newman’s Inequality for lacunary polynomials
The integer Chebyshev problem
The Full Müntz Theorem in C [0, 1] and L ₁ [0, 1]
A NOTE ON BARKER POLYNOMIALS
On the Multiplicity of the Zeros of Polynomials with Constrained Coefficients
Improved lower bound for the number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set
On Littlewood Polynomials with Prescribed Number of Zeros Inside the Unit Disk
Lower bounds for the number of zeros of cosine polynomials in the period: a problem of Littlewood
Markov-Bernstein type inequalities under Littlewood-type coefficient constraints
The ``full Müntz theorem in \(L_p[0,1]\) for \(0<p<\infty\).

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