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<p>This note is a complement to an article which was published, 6&#xa0;years ago, in this journal (vol. 45.3, 2018). Here, the goal is to fully describe a singular transcendental continued fraction in <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11139_2025_1069_Article_IEq3.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="65" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathbb {Q}((T^{-1}))\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="double-struck">Q</mi> <mo stretchy="false">(</mo> <mrow> <mo stretchy="false">(</mo> <msup> <mi>T</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, linked to a particular infinite two letters word.</p>

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On a two-valued infinite sequence and a related continued fraction in \(\mathbb {Q}((T^{-1}))\)

  • 期刊论文

  • 发表日期：

    2025年3月20日

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  • Alain Lasjaunias

摘要

This note is a complement to an article which was published, 6 years ago, in this journal (vol. 45.3, 2018). Here, the goal is to fully describe a singular transcendental continued fraction in \(\mathbb {Q}((T^{-1}))\) Q ( ( T - 1 ) ) , linked to a particular infinite two letters word.