On Modular Relations for the Gollnitz-Gordon Functions
碩士 === 國立彰化師範大學 === 數學系 === 88 === In this article, we attempts to obtain modular relations for the Gollnitz-Gordon identities by imitating the method which G. N. Watson used to prove modular relations for the Rogers-Ramanujan functions. We establish new modular relations for the Gollnitz-Gordon f...
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| Format: | Others |
| Language: | en_US |
| Published: |
2000
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| Online Access: | http://ndltd.ncl.edu.tw/handle/30817640188648374027 |
| Summary: | 碩士 === 國立彰化師範大學 === 數學系 === 88 === In this article, we attempts to obtain modular relations for the Gollnitz-Gordon identities by imitating the method which G. N. Watson used to prove modular relations for the Rogers-Ramanujan functions. We establish new modular relations for the Gollnitz-Gordon functions and give new proofs of some
identities found by Huang. We also obtain a formula analogous to Schroter''s formula.
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