On Ramanujan's formula for $\zeta (1/2)$ and $\zeta (2m+1)$

Anushree Gupta, Bibekananda Maji

Page 332 of Ramanujan's Lost Notebook contains a compelling identity for $\zeta (1/2)$, which has been studied by many mathematicians over the years. On the same page, Ramanujan also re…