Arithmetic and analytic properties of paper folding sequences-Reference-Cited by-同舟云学术

Arithmetic and analytic properties of paper folding sequences

Published:1981-08 Issue:1 Volume:24 Page:123-131
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

France M. Mendès,van der Poorten A.J.

Abstract

The mechanical procedure of paper folding generates an uncountable family of infinite sequences of fold patterns. We obtain the associated Fourier series and show that the sequences are almost periodic and hence deterministic. Further, we show that paper folding numbers defined by the sequences are all transcendental.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. Generalized harmonic analysis

2. Nombres normaux et processus déterministes

3. Arithmetische Eigenschaften der L�sungen einer Klasse von Funktionalgleichungen

4. The Spectrum of an Array and its Application to the Study of the Translation Properties of a Simple Class of Arithmetical Functions: Part Two On the Translation Properties of a Simple Class of Arithmetical Functions

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