Paper folding, theta functions and the circle method
type: Item
instance of: scholarly article
title: Paper folding, theta functions and the circle method
zbMATH Open document ID: 0993.11012
DOI: 10.1007/BF02392948
author: Michel Mendès France
author: Ahmed Sebbar
published in: Acta Mathematica
publication date: 2000-12-06T00:00:00Z
review text: A reader wanting to know the relations between the folding of a strip of paper, the series \(\sum z^{-2^n}\), the Erdős-Turan theorem on polynomials, the elliptic theta functions, the partition function \(\prod_{n\geq 1} (1-x^n)^{-1}\), and the existence of a measure for which the denominators of the convergents of the paper folding continued fraction are orthogonal, will certainly enjoy very much this rich and interesting paper.
reviewed by: Jean-Paul Allouche
Mathematics Subject Classification ID: 11B85
Mathematics Subject Classification ID: 11P55
Mathematics Subject Classification ID: 11F27
zbMATH DE Number: 1541210
zbMATH Keywords: paper folding
zbMATH Keywords: elliptic theta functions
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: circle method
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02392948
OpenAlex ID: W2317114015
description: scientific article; zbMATH DE number 1541210