On Some Partition Functions Related to Some Mock Theta Functions
Volume 57 / 2009
Bulletin Polish Acad. Sci. Math. 57 (2009), 1-8
MSC: 05A17, 33D15, 05A19.
DOI: 10.4064/ba57-1-1
Abstract
We show that some partitions related to two of Ramanujan's mock theta functions are related to indefinite quadratic forms and real quadratic fields. In particular, we examine a third order mock theta function and a fifth order mock theta function.