In memoriam: Peter Benjamin Borwein (1953--2020)
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Publication:6592070
DOI10.1016/J.JAT.2024.106074zbMATH Open1546.01122MaRDI QIDQ6592070
Publication date: 24 August 2024
Published in: Journal of Approximation Theory (Search for Journal in Brave)
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- New restrictions on possible orders of circulant Hadamard matrices
- Heights of roots of polynomials with odd coefficients
- Computational excursions in analysis and number theory
- On Sylvester's problem and Haar spaces
- The anti-field-descent method
- Wieferich pairs and Barker sequences
- The Desmic conjecture
- A numerical investigation on cumulative sum of the Liouville function
- Zeros of polynomials with \(0, 1\) coefficients
- The Prouhet-Tarry-Escott problem revisited
- Verschiedene Bemerkungen zur Zahlentheorie.
- Factorization of certain cyclotomic functions
- Flat Littlewood polynomials exist
- Lehmer's problem for polynomials with odd coefficients
- A survey of Sylvester's problem and its generalizations
- Extremal Mahler measures and \(L_s\) norms of polynomials related to Barker sequences
- Barker sequences and flat polynomials
- A disproof of a conjecture of Pólya
- Norms of Polynomials
- On Liouville's Function
- Nachtrag zu meiner Abhandlung „On some approximative Dirichlet polynomials in the theory of zeta-function of Riemann”
- An inequality for the maximum of trigonometric polynomials
- Sylvester's Problem and Motzkin's Theorem for Countable and Compact Sets
- Disproof of the Mertens conjecture.
- Generalizations of Gonçalves' inequality
- Sign changes in sums of the Liouville function
- Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi
- Sur Les Polynomes a Coefficients Unimodulaires
- Growth of the product $∏^n_{j=1} (1-x^{a_j})$
- An estimate of the free term of a non-negative trigonometric polynomial with integer coefficients
- On a problem of Byrnes concerning polynomials with restricted coefficients
- Polynomials With {0, +1, -1} Coefficients and a Root Close to a Given Point
- Computational investigations of the Prouhet-Tarry-Escott Problem
- Visible Structures in Number Theory
- Polynomials with Height 1 and Prescribed Vanishing at 1
- On a problem of Byrnes concerning polynomials with restricted coefficients, II
- On Littlewood and Newman polynomial multiples of Borwein polynomials
- Multiple Roots of [−1, 1 Power Series]
- Newman polynomials with prescribed vanishing and integer sets with distinct subset sums
- THE MAHLER MEASURE OF POLYNOMIALS WITH ODD COEFFICIENTS
- Polynomials with Restricted Coefficients and Prescribed Noncyclotomic Factors
- Rudin-Shapiro-like polynomials in $L_{4}$
- CYCLOTOMIC FACTORS OF BORWEIN POLYNOMIALS
- The Liouville Function and the Riemann Hypothesis
- Rudin-Shapiro-Like Sequences With Maximum Asymptotic Merit Factor
- Wieferich pairs and Barker sequences, II
- BETWEEN THE PROBLEMS OF PÓLYA AND TURÁN
- Auxiliary polynomials for some problems regarding Mahler's measure
- Zeros of Partial Sums of the Riemann Zeta Function
- Bisecants of Finite Collections of Sets in Linear Spaces
- On Polynomials ∑±nzm,∑eαminzm,z=e0i
- On the Product of the Conjugates outside the unit circle of an Algebraic Integer
- A class of finite binary sequences with alternate auto-correlation values equal to zero (Corresp.)
- On the Distribution of the Roots of a Polynomial with Integral Coefficients
- On Two Conjectures in the Theory of Numbers
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