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ON THE TENTH-ORDER MOCK THETA FUNCTIONS

Part of: Discontinuous groups and automorphic forms Sequences and sets

Published online by Cambridge University Press:  02 March 2017

ERIC T. MORTENSON
ERIC T. MORTENSON*
Affiliation:
Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany email [email protected]
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Abstract

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Using properties of Appell–Lerch functions, we give insightful proofs for six of Ramanujan’s identities for the tenth-order mock theta functions.

Keywords

mock theta functionsAppell–Lerch functions

MSC classification

Primary: 11B65: Binomial coefficients; factorials; $q$-identities
Secondary: 11F27: Theta series; Weil representation; theta correspondences
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 104 , Issue 1 , February 2018 , pp. 44 - 62
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

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