Adiga, Chandrashekar; Vasuki, K. R.; Bhaskar, N. Some new modular relations for the cubic functions. (English) Zbl 1289.33015 Southeast Asian Bull. Math. 36, No. 6, 769-785 (2012). Summary: We establish certain relations for the cubic functions \[ \begin{aligned} &S(q): = \sum_{n=0}^{\infty}\frac{(-q; q^2)_nq^{n^2+2n}}{(q^4; q^4)_n}, \\&T(q): =\sum_{n=0}^{\infty}\frac{q^{n^2}}{(q^2; q^2)_n}, \end{aligned} \] which are analogous to Ramanujan’s forty identities for the Rogers-Ramanujan functions. From the relations mentioned above, we deduce some interesting color partition identities. Cited in 2 ReviewsCited in 1 Document MSC: 33E20 Other functions defined by series and integrals 11F27 Theta series; Weil representation; theta correspondences 11P82 Analytic theory of partitions 11P84 Partition identities; identities of Rogers-Ramanujan type Keywords:theta-function; modular equations; colored partition PDFBibTeX XMLCite \textit{C. Adiga} et al., Southeast Asian Bull. Math. 36, No. 6, 769--785 (2012; Zbl 1289.33015)