Lecture Notes in Networks and Systems, Volume 214, Pages 111-120 , 01/01/2022

Transcendental Numbers Arising from Mahler’s Method

Saeree Wananiyakul, Vichian Laohakosol, Janyarak Tongsomporn

Abstract

By a 1937 method of K. Mahler, it is proved using the Thue–Siegel–Roth theorem that the decimal expansion 0.13579 11 13 15 17 19 21 23 25 27⋯ is a transcendental number but is not a Liouville number.

Document Type

Conference Paper

Source Type

Book Series

ISBN

[9789811638060]

ISSN

23673370, 23673389

Keywords

Decimal representationLiouville numberThue–Siegel–Roth theoremTranscendental number

ASJC Subject Area

Engineering : Control and Systems EngineeringComputer Science : Signal ProcessingComputer Science : Computer Networks and Communications

Access to Document

DOI : 10.1007/978-981-16-3807-7_7
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Bibliography


Wananiyakul, S., Laohakosol, V., & Tongsomporn, J. (2022). Transcendental Numbers Arising from Mahler’s Method. Lecture Notes in Networks and Systems, 214111-120. doi:10.1007/978-981-16-3807-7_7

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