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Higher depth mock theta functions and <i>q</i>-hypergeometric series

Higher depth mock theta functions and <i>q</i>-hypergeometric series

In the theory of harmonic Maass forms and mock modular forms, mock theta functions are distinguished examples which arose from $q$-hypergeometric examples of Ramanujan. Recently, there has been a body of work on higher depth mock modular forms. Here, we introduce distinguished examples of these forms which we call higher …