Modular relations for the nonic analogues of the Rogers–Ramanujan functions with applications to partitions

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• 作者：Nay ; eep Deka Baruah ; Jonali Bora
• 关键词：Rogers– ; Ramanujan functions ; Theta functions ; Partitions
• 刊名：Journal of Number Theory
• 出版年：2008
• 出版时间：January 2008
• 年：2008
• 卷：128
• 期：1
• 页码：175-206
• 全文大小：231 K

文摘

We define the nonic Rogers–Ramanujan-type functions 73481"" title=""Click to view the MathML source"">D(q), E(q) and F(q) and establish several modular relations involving these functions, which are analogous to Ramanujan's well known forty identities for the Rogers–Ramanujan functions. We also extract partition theoretic results from some of these relations.