q-Hypergeometric double sums as mock theta functions

Details q-Hypergeometric double sums as mock theta functions q-Hypergeometric double sums as mock theta functions

2012-04-11

arxiv.org/abs/1204.2431v1

Mathematics

Number Theory

11 pages

Scientific paper

Recently, Bringmann and Kane established two new Bailey pairs and used them to relate certain q-hypergeometric series to real quadratic fields. We show how these pairs give rise to new mock theta functions in the form of q-hypergeometric double sums. Additionally, we prove an identity between one of these sums and two classical mock theta functions introduced by Gordon and McIntosh.

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