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<p>In this note, we give a modular transformation formula of the “weight 1 Eisenstein series”. As an application, we evaluate values of the modularity gap at positive rational numbers and at 0.</p>

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On modular transformation of “weight 1 Eisenstein series”

  • 期刊论文

  • 发表日期：

    2025年2月21日

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  • Yoshinori Mizuno

摘要

In this note, we give a modular transformation formula of the “weight 1 Eisenstein series”. As an application, we evaluate values of the modularity gap at positive rational numbers and at 0.