Computable absolutely Pisot normal numbers

Manfred G. Madritsch; Adrian-Maria Scheerer; Robert F. Tichy

doi:10.4064/aa8661-8-2017

Computable absolutely Pisot normal numbers

Manfred G. Madritsch
, Adrian-Maria Scheerer
, Robert F. Tichy

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Begutachtung

Abstract

We analyze the order of convergence to normality of an algorithm producing the digits of an absolutely normal number in polynomial time. Furthermore, we consider a stronger concept of absolute normality by allowing Pisot numbers of arbitrary degree as bases.

Originalsprache	Englisch
Seiten (von - bis)	7 - 29
Fachzeitschrift	Acta arithmetica
Jahrgang	2018
Ausgabenummer	184
DOIs	https://doi.org/10.4064/aa8661-8-2017
Publikationsstatus	Veröffentlicht - 2018
Extern publiziert	Ja

Zugriff auf Dokument

10.4064/aa8661-8-2017

Andere Dateien und Links

https://doi.org/10.4064/aa8661-8-2017

Dieses zitieren

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title = "Computable absolutely Pisot normal numbers",

abstract = "We analyze the order of convergence to normality of an algorithm producing the digits of an absolutely normal number in polynomial time. Furthermore, we consider a stronger concept of absolute normality by allowing Pisot numbers of arbitrary degree as bases.",

keywords = "normal number, Pisot numbers, uniform distribution theory",

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year = "2018",

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KW - uniform distribution theory

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