Some new proofs of modular relations for the Göllnitz-Gordon functions
- 1 February 2008
- journal article
- Published by Springer Science and Business Media LLC in The Ramanujan Journal
- Vol. 15 (2), 281-301
- https://doi.org/10.1007/s11139-007-9079-8
Abstract
In this paper, we find new proofs of modular relations for the Göllnitz-Gordon functions established earlier by S.-S. Huang and S.-L. Chen. We use Schröter’s formulas and some simple theta-function identities of Ramanujan to establish the relations. We also find some new modular relations of the same nature.Keywords
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