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Vector-valued modular forms and the mock theta conjectures

2016
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Research in Number Theory
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The mock theta conjectures are ten identities involving Ramanujan's fifth-order mock theta functions. The conjectures were proven by Hickerson in 1988 using q-series methods. Using methods from the theory of harmonic Maass forms, specifically work of Zwegers and Bringmann-Ono, Folsom reduced the proof of the mock theta conjectures to a finite computation. Both of these approaches involve proving the identities individually, relying on work of Andrews-Garvan. Here we give a unified proof of the

doi:10.1007/s40993-016-0062-6
fatcat:qde545c62befxfodzbauyclfdm