turkmath.org

Mock theta functions are q-series that behave like ordinary theta functions but are not themselves theta functions. Until recently, even the order of a mock theta function as it was defined by Ramanujan was not understood. In the first part of our talk, we will describe mock theta functions and talk about the historical development of the subject. We will then look at some applications of the mock theta functions to the general theory of q-series and solutions to some identities of Ramanujan for the third order mock theta functions.