Scholarlink

<p>Based on work of P. Balister, B. Bollobás, R. Morris, J. Sahasrabudhe and M. Tiba [5], we show that if a covering system has distinctsquarefree moduli, then the minimum modulus is at most 118. We also showthat in general the <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10474_2024_1496_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(k\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>k</mi> </math></EquationSource> </InlineEquation>-th smallest modulus in a covering system with distinct moduli (provided it is required for the covering) is bounded by an absolute constant.</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

An upper bound for the minimum modulus in a covering system with squarefree moduli

  • 期刊论文

  • 发表日期：

    2025年1月18日

查看全文
  • M. Cummings,
  • M. Filaseta,
  • O. Trifonov

摘要

Based on work of P. Balister, B. Bollobás, R. Morris, J. Sahasrabudhe and M. Tiba [5], we show that if a covering system has distinctsquarefree moduli, then the minimum modulus is at most 118. We also showthat in general the \(k\) k -th smallest modulus in a covering system with distinct moduli (provided it is required for the covering) is bounded by an absolute constant.