ON IDENTITIES INVOLVING THE SIXTH ORDER MOCK THETA FUNCTIONS

ON IDENTITIES INVOLVING THE SIXTH ORDER MOCK THETA FUNCTIONS

We present q-series proofs of four identities involving sixth order mock theta functions from Ramanujan's lost notebook. We also show how Ramanujan's identities can be used to give a quick proof of four sixth order identities of Berndt and Chan.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2010-07, Vol.138 (7), p.2547-2552
1. Verfasser: LOVEJOY, JEREMY
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algebraic geometry
Combinatorics
Exact sciences and technology
General mathematics
General, history and biography
Mathematical functions
Mathematics
Modularity
Number Theory
Sciences and techniques of general use
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Beschreibung
Zusammenfassung:We present q-series proofs of four identities involving sixth order mock theta functions from Ramanujan's lost notebook. We also show how Ramanujan's identities can be used to give a quick proof of four sixth order identities of Berndt and Chan.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-10-10296-2