On $q$-series identities for false theta series
Number Theory
2020-09-10 v4 Quantum Algebra
Abstract
We prove several infinite families of -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 -hypergeometric series with "double poles".
Keywords
Cite
@article{arxiv.2001.11368,
title = {On $q$-series identities for false theta series},
author = {Chris Jennings-Shaffer and Antun Milas},
journal= {arXiv preprint arXiv:2001.11368},
year = {2020}
}