Recall that Ramanujan’s three Eisenstein series P(q), Q(q), and R(q) are defined by
and
where \(|q| < 1\). On pages 44, 50, 51, and 53 in his lost notebook [244], Ramanujan offers 12 formulas for Eisenstein series. All are connected with modular equations of degree either 5 or 7.
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© 2009 Springer-Verlag New York
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Berndt, B.C., Andrews, G.E. (2009). Eisenstein Series and Modular Equations. In: Ramanujan's Lost Notebook. Springer, New York, NY. https://doi.org/10.1007/b13290_14
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DOI: https://doi.org/10.1007/b13290_14
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