Scholarlink

<p>In this paper, we give some non-vanishing results on the central values of prime twists of modular <i>L</i>-functions by imaginary quadratic fields for specific elliptic modular forms. In particular, we show that the central values of prime twists of <i>L</i>-functions of some elliptic modular forms are always non-vanishing whenever the root number is positive.</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

Non-vanishing theorems for prime twists of some modular L-functions

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年6月16日

查看全文
  • Masataka Chida,
  • Satoshi Wakatsuki

摘要

In this paper, we give some non-vanishing results on the central values of prime twists of modular L-functions by imaginary quadratic fields for specific elliptic modular forms. In particular, we show that the central values of prime twists of L-functions of some elliptic modular forms are always non-vanishing whenever the root number is positive.