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If q = exp(−π√n ), for some positive rational number n, the Ramanujan– Weber class invariant Gn is defined by Gn := 2−1/4q−1/24(−q; q)∞. In his notebooks, Ramanujan presented many values of class invariants which he had evaluated. Using Kronecker’s limit formula, modular equations, and class field theory, Berndt, Chan and Zhang [5] verified many of these values which had not been previously determined.

Septic theta function identities in Ramanujan's lost notebook