Abstract
The identities \( \frac{\eta _{1}^{3}} {\eta _{9}^{3}} + 9 + 27\frac{\eta _{9}^{3}} {\eta _{1}^{3}} = \frac{\eta _{3}^{12}} {\eta _{1}^{6}\eta _{9}^{6}} \) and \( \frac{1} {8}\left (9P(q^{9}) - P(q)\right ) = \frac{\eta _{3}^{10}} {\eta _{1}^{3}\eta _{9}^{3}} \) are used to obtain results that are analogues of theorems in Chapters 5–8
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Cooper, S. (2017). Level 9. In: Ramanujan's Theta Functions. Springer, Cham. https://doi.org/10.1007/978-3-319-56172-1_10
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DOI: https://doi.org/10.1007/978-3-319-56172-1_10
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