Traces of partition Eisenstein series and almost holomorphic modular forms

2024/10/07 by Kathrin Bringmann, Bringmann, Kathrin, Badri Vishal Pandey +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.2410.04892

Abstract

Recently, Amderberhan, 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.

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