Adiga, Chandrashekar; Vanitha, A. New modular relations for the Rogers-Ramanujan type functions of order fifteen. (English) Zbl 1325.33013 Notes Number Theory Discrete Math. 20, No. 1, 36-48 (2014). Summary: In this paper, we establish two modular relations for the Rogers-Ramanujan-Slater functions of order fifteen. These relations are analogues to Ramanujan’s famous forty identities for the Rogers-Ramanujan functions.Furthermore, we give interesting partition theoretic interpretations of these relations. Cited in 1 Document MSC: 33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\) 11P83 Partitions; congruences and congruential restrictions Keywords:Rogers-Ramanujan functions; theta functions; Jacobi’s triple product identity; colored partitions PDFBibTeX XMLCite \textit{C. Adiga} and \textit{A. Vanitha}, Notes Number Theory Discrete Math. 20, No. 1, 36--48 (2014; Zbl 1325.33013)