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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-1-1,
author = {Alexander E. Patkowski},
title = {On Some Partition Functions Related to Some Mock Theta Functions},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {57},
year = {2009},
pages = {1-8},
zbl = {1173.05302},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-1-1}
}
Alexander E. Patkowski. On Some Partition Functions Related to Some Mock Theta Functions. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) pp. 1-8. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-1-1/