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Jacobi’s triple product, mock theta functions, unimodal sequences and the q-bracket

Jacobi’s triple product, mock theta functions, unimodal sequences and the q-bracket

In Ramanujan’s final letter to Hardy, he listed examples of a strange new class of infinite series he called “mock theta functions”. It turns out all of these examples are essentially specializations of a so-called universal mock theta function [Formula: see text] of Gordon–McIntosh. Here we show that [Formula: see …