Scholarlink

<p>We study the zeros of cusp forms in the Miller basis whose vanishing order at infinity is a fixed number <i>m</i>. We show that for sufficiently large weights, the finite zeros of such forms in the fundamental domain, all lie on the circular part of the boundary of the fundamental domain. We further show and quantify an effective bound for the weight, which is linear in terms of <i>m</i>.</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 Zeros of the Miller Basis of Cusp Forms

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年10月28日

查看全文
  • Roei Raveh

摘要

We study the zeros of cusp forms in the Miller basis whose vanishing order at infinity is a fixed number m. We show that for sufficiently large weights, the finite zeros of such forms in the fundamental domain, all lie on the circular part of the boundary of the fundamental domain. We further show and quantify an effective bound for the weight, which is linear in terms of m.