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arXiv · 2001.11368

On $q$-series identities for false theta series

Chris Jennings-Shaffer·Antun Milas
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Abstract

We prove several infinite families of $q$-series identities for false theta functions and related series. These identities are motivated by considerations of characters of modules of vertex operator superalgebras and of quantum dilogarithms. We also obtain closely related modular identities of the G\"ollnitz-Gordon-Andrews type. As a byproduct of our identities, we establish several identities for the Rogers dilogarithm function coming from multi $q$-hypergeometric series with "double poles".

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Chris Jennings-Shaffer, Antun Milas. 2020-01-30. On $q$-series identities for false theta series. https://arxiv.org/abs/2001.11368

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