Scholarlink

<p>W. Kohnen introduced kernel functions to study the nonvanishing of <i>L</i>-functions attached to Hecke eigenforms. Y. Martin defined <i>L</i>-functions for Jacobi forms of arbitrary index and studied the analytic properties of these <i>L</i>-functions. In this paper, we study the nonvanishing of <i>L</i>-functions and Poincaré series for Jacobi forms defined on <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({\mathcal {H}} \times {\mathbb {C}}^{g,1}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="script">H</mi> <mo>×</mo> <msup> <mrow> <mi mathvariant="double-struck">C</mi> </mrow> <mrow> <mi>g</mi> <mo>,</mo> <mn>1</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation> using kernel functions.</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

Nonvanishing of L-functions and Poincaré series for Jacobi forms of matrix index

  • 期刊论文

  • 发表日期：

    2026年4月15日

查看全文
  • Shivansh Pandey,
  • Brundaban Sahu

摘要

W. Kohnen introduced kernel functions to study the nonvanishing of L-functions attached to Hecke eigenforms. Y. Martin defined L-functions for Jacobi forms of arbitrary index and studied the analytic properties of these L-functions. In this paper, we study the nonvanishing of L-functions and Poincaré series for Jacobi forms defined on \({\mathcal {H}} \times {\mathbb {C}}^{g,1}\) H × C g , 1 using kernel functions.