The Bailey chain and mock theta functions

Details The Bailey chain and mock theta functions The Bailey chain and mock theta functions

2012-01-30

arxiv.org/abs/1201.6194v1

Mathematics

Number Theory

15 pages

Scientific paper

We use a change of base in Bailey pairs due to Bressoud, Ismail and Stanton
to explicitly construct families of q-hypergeometric multisums which are mock
theta functions (in the modern sense). We also prove identities involving some
of these multisums and certain classical mock theta functions.

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