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<p>Recently, Amdeberhan, Griffin, Ono, and Singh started the study of “traces of partition Eisenstein series” and used it to give explicit formulas for many interesting functions. In this note we determine the precise spaces in which they lie, find modular completions, and show how they are related via operators.</p>

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Traces of partition Eisenstein series and almost holomorphic modular forms

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月23日

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  • Kathrin Bringmann,
  • Badri Vishal Pandey

摘要

Recently, Amdeberhan, Griffin, Ono, and Singh started the study of “traces of partition Eisenstein series” and used it to give explicit formulas for many interesting functions. In this note we determine the precise spaces in which they lie, find modular completions, and show how they are related via operators.