Liu, Zhi-Guo Addition formulas for Jacobi’s theta functions, Dedekind’s eta function, and Ramanujan’s congruences. (English) Zbl 1169.33005 Pac. J. Math. 240, No. 1, 135-150 (2009). The author proves some new theta function identities, as well as series expansions for particular powers of Dedekind’s eta function. As corollaries, known Ramanujan-type congruences for the partition function are derived. Reviewer: József Sándor (Cluj-Napoca) Cited in 8 Documents MSC: 33E05 Elliptic functions and integrals 11F11 Holomorphic modular forms of integral weight 11F20 Dedekind eta function, Dedekind sums 11F27 Theta series; Weil representation; theta correspondences Keywords:elliptic function; theta function; Dedekind’s eta function; Ramanujan’s congruence PDFBibTeX XMLCite \textit{Z.-G. Liu}, Pac. J. Math. 240, No. 1, 135--150 (2009; Zbl 1169.33005) Full Text: DOI