P
Peter Borwein
Researcher at Simon Fraser University
Publications - 230
Citations - 8261
Peter Borwein is an academic researcher from Simon Fraser University. The author has contributed to research in topics: Orthogonal polynomials & Classical orthogonal polynomials. The author has an hindex of 39, co-authored 230 publications receiving 7830 citations. Previous affiliations of Peter Borwein include University of British Columbia & McGill University.
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Book
Polynomials and Polynomial Inequalities
Peter Borwein,Tamás Erdélyi +1 more
TL;DR: Inequalities in Muntz Spaces and Rational Function Spaces have been investigated in this article, where the authors show that inequalities for Polynomials with Constraints imply Orthogonality and Irrationality.
Book
Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity
TL;DR: In this paper, Jacobi's Triple-Product and some number theoretic applications are discussed, as well as algebraic approximations of the elementary functions of pi and arithmetic-geometric mean iterators.
Book ChapterDOI
Modular Equations and Approximations to π
TL;DR: G n and g n can always be expressed as roots of algebraical equations when n is any rational number.
Journal ArticleDOI
On the rapid computation of various polylogarithmic constants
TL;DR: These algorithms can be easily implemented, require virtually no memory, and feature run times that scale nearly linearly with the order of the digit desired make it feasible to compute the billionth binary digit of log(2) or π on a modest work station in a few hours run time.