Scholarlink

<p>We determine the average size of the eigenvalues of the Hecke operators acting on the cuspidal modular forms space <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13_2024_2089_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="75" /> </InlineMediaObject> <EquationSource Format="TEX">\(S_k(\Gamma _0(N))\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>S</mi> <mi>k</mi> </msub> <mrow> <mo stretchy="false">(</mo> <msub> <mi mathvariant="normal">Γ</mi> <mn>0</mn> </msub> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mo stretchy="false">)</mo> </mrow> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> in both the vertical and the horizontal perspective. The “average size” is measured via the quadratic mean.</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 the average size of the eigenvalues of the Hecke operators

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年1月23日

查看全文
  • William Cason,
  • Akash Jim,
  • Charlie Medlock,
  • Erick Ross,
  • Hui Xue

摘要

We determine the average size of the eigenvalues of the Hecke operators acting on the cuspidal modular forms space \(S_k(\Gamma _0(N))\) S k ( Γ 0 ( N ) ) in both the vertical and the horizontal perspective. The “average size” is measured via the quadratic mean.