History of Ramanujan's class invariants $G_n$, with Weber's $\mathfrak f(\sqrt{-n})$

 Title: Ramanujan's class invariants $G_n$, with Weber's $\mathfrak f(\sqrt{-n})$-Definition: For a positive integer $n$, let $q=e^{-\pi\sqrt n}$. Ramanujan's class-  invariant is $G_n=2^{-1/4}q^{-1/24}\prod_{m\geq1}(1+q^{2m-1})$. Weber's function-  at $i\sqrt n$, written $\mathfrak f(\sqrt{-n})$ in Weber's notation, is $\mathfrak-  f(i\sqrt n)=2^{1/4}G_n$. Each $n$ is stored in both normalisations CITE{BorweinBorwein}-  CITE{Duke} CITE{BerndtChanZhang}.+Definition: For $n\in\mathbb Z_{>0}$, let $q=e^{-\pi\sqrt n}$. Ramanujan's class invariant+  is $G_n=2^{-1/4}q^{-1/24}\prod_{m\geq1}(1+q^{2m-1})$. Weber's value is $\mathfrak+  f(i\sqrt n)=2^{1/4}G_n$, written $\mathfrak f(\sqrt{-n})$ in Weber's notation. Both+  normalisations are stored CITE{BorweinBorwein} CITE{Duke}. Parameters:   n: