Alaca, Şaban; Pehlivan, Lerna; Williams, Kenneth S. Some product-to-sum identities. (English) Zbl 1282.11039 J. Comb. Number Theory 4, No. 1, 35-52 (2012). Summary: In this paper the infinite products\[ \prod_{n=1}^\infty (1 + \sqrt{2}q^n +q^{2n} )^{2}, \quad \prod_{n=1}^\infty (1 + \sqrt{3}q^n +q^{2n} )^{3} \]and\[ \prod_{n=1}^\infty (1 + \frac{(1 + \sqrt{3})}{2}q^n +q^{2n} )^{5} \]are determined. Cited in 1 Document MSC: 11F27 Theta series; Weil representation; theta correspondences 33E05 Elliptic functions and integrals Keywords:product-to-sum identities PDFBibTeX XMLCite \textit{Ş. Alaca} et al., J. Comb. Number Theory 4, No. 1, 35--52 (2012; Zbl 1282.11039)