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Questions about modular forms and related areas
2
votes
Dedekind eta function history
The $q^{1/24}$ factor can be explained by applying some Fourier analysis on the infinite product $\prod_{n\ge1}(1-q^n)$. When $\Re(y)>0$, let $f(y)=\prod_{n\ge1}(1-e^{-2\pi ny})$. Then by the pentagon …