Scholarlink

<p>Let <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(S_k\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>S</mi> <mi>k</mi> </msub> </math></EquationSource> </InlineEquation> denote the space of cusp forms of weight <i>k</i> and level one. We show that if <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(k\gg n^2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>k</mi> <mo>≫</mo> <msup> <mi>n</mi> <mn>2</mn> </msup> </mrow> </math></EquationSource> </InlineEquation> then the first <i>n</i> odd or even periods are linearly independent on <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(S_k\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>S</mi> <mi>k</mi> </msub> </math></EquationSource> </InlineEquation>. We also obtain a similar result for the symmetric square periods of modular forms.</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

Periods and symmetric square periods of modular forms

  • 期刊论文

  • 发表日期：

    2026年7月2日

查看全文
  • Tianyu Ni,
  • Hui Xue

摘要

Let \(S_k\) S k denote the space of cusp forms of weight k and level one. We show that if \(k\gg n^2\) k ≫ n 2 then the first n odd or even periods are linearly independent on \(S_k\) S k . We also obtain a similar result for the symmetric square periods of modular forms.