Traces of partition Eisenstein series and almost holomorphic modular forms.

IF 0.6 Q3 MATHEMATICS

Research in Number Theory Pub Date : 2025-01-01 Epub Date: 2025-04-23 DOI:10.1007/s40993-025-00615-z

Kathrin Bringmann, Badri Vishal Pandey

引用次数: 0

Abstract

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.

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划分爱森斯坦级数的迹与几乎全纯模形式。

最近，Amdeberhan、Griffin、Ono和Singh开始了对“划分爱森斯坦级数的痕迹”的研究，并利用它给出了许多有趣的函数的显式公式。在本文中，我们将确定它们所在的精确空间，找到模块化完井，并展示它们如何通过算符相互关联。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Research in Number Theory MATHEMATICS-

CiteScore

0.80

自引率

12.50%

发文量

期刊介绍： Research in Number Theory is an international, peer-reviewed Hybrid Journal covering the scope of the mathematical disciplines of Number Theory and Arithmetic Geometry. The Mission of the Journal is to publish high-quality original articles that make a significant contribution to these research areas. It will also publish shorter research communications (Letters) covering nascent research in some of the burgeoning areas of number theory research. This journal publishes the highest quality papers in all of the traditional areas of number theory research, and it actively seeks to publish seminal papers in the most emerging and interdisciplinary areas here as well. Research in Number Theory also publishes comprehensive reviews.