Scholarlink

<p>We develop a continued fraction algorithm in finite extensions of <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10998_2025_634_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({\mathbb {Q}}_p\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="double-struck">Q</mi> <mi>p</mi> </msub> </math></EquationSource> </InlineEquation> generalising certain algorithms in <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10998_2025_634_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({\mathbb {Q}}_p\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="double-struck">Q</mi> <mi>p</mi> </msub> </math></EquationSource> </InlineEquation>, and prove the finiteness property for certain small degree extensions. We also discuss the metric properties of the associated continued fraction maps for our algorithms using subsequence ergodic theory and moving averages.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On a continued fraction algorithm in finite extensions of \({\mathbb {Q}}_p\) and its metrical theory

  • 期刊论文

  • 发表日期：

    2025年2月21日

查看全文
  • Manoj Choudhuri,
  • Prashant J. Makadiya

摘要

We develop a continued fraction algorithm in finite extensions of \({\mathbb {Q}}_p\) Q p generalising certain algorithms in \({\mathbb {Q}}_p\) Q p , and prove the finiteness property for certain small degree extensions. We also discuss the metric properties of the associated continued fraction maps for our algorithms using subsequence ergodic theory and moving averages.