期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：2009
卷号：106
期号：14
页码：5513-5516
DOI：10.1073/pnas.0900783106
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：We show that the Zagier-Eisenstein series shares its nonholomorphic part with certain weak Maass forms whose holomorphic parts are generating functions for overpartition rank differences. This has a number of consequences, including exact formulas, asymptotics, and congruences for the rank differences as well as q-series identities of the mock theta type.
关键词：congruences ; harmonic Maass form ; mock theta function ; Dyson's rank ; Zagier–Eisenstein series
