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We define the Dedekind eta function $\eta(z)$ by the formula \[ \eta(z)=q^{1/24}\prod_{n\geq1}(1-q^n), \] where $q=e^{2\pi iz}$.

It is related to the Discriminant modular form via the formula \[ \Delta(z)=\eta^{24}(z). \]

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  • Last edited by Andrew Sutherland on 2025-03-10 21:50:26
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