























Abstract:To provide partition-theoretic interpretations to Watson's the third-order mock theta function $\omega(q)$, Andrews defined the odd Durfee symbols and odd ranks. Motivated by Andrews' work, arithmetic properties of odd ranks are widely studied recently. In this paper, we obtain transformation formulas of the odd rank generating functions, which are used to construct families of weak Maass forms and weakly modular forms. As an application,we provide explicit identities for odd ranks modulo 5, analogous to Ramanujan's classical partition identities.
From: Renrong Mao [view email]
[v1]
Sat, 20 Jun 2026 04:12:37 UTC (23 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。