no code implementations • 22 Dec 2020 • Atul Dixit, Aashita Kesarwani, Rahul Kumar
When $a$ is an odd integer, the well-known modular transformations of the Eisenstein series on $\textup{SL}_{2}\left(\mathbb{Z}\right)$, that of the Dedekind eta function as well as Ramanujan's formula for $\zeta(2m+1)$ are derived from the master identity.
Number Theory Classical Analysis and ODEs Primary 11M06, 33C10, 44A20, Secondary 11F11, 33C20
