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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/17745

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/17745

Title:	New Modular Relations for the G�llnitz-Gordon Functions
Authors:	Chen, Shu-Ling;Huang, Sen-Shan
Contributors:	數學系
Keywords:	Rogers-Ramanujan functions;G�llnitz-Gordon functions;Ramanujan's general theta function;Jacobi's triple product identity;Colored partitions
Date:	2002-03
Issue Date:	2013-12-30T06:56:42Z
Publisher:	Elsevier
Abstract:	We attempt to obtain new modular relations for the Göllnitz–Gordon functions by techniques which have been used by L. J. Rogers, G. N. Watson, and D. Bressoud to prove some of Ramanujan's 40 identities. Also, we give new proofs for some modular relations for the Göllnitz–Gordon functions which have been previously established by using results from L. Rogers and D. Bressoud. Finally, we give applications of those new modular relations to the theory of partitions.
Relation:	Journal of Number Theory, 93(1): 58-75
Appears in Collections:	[math] Periodical Articles

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