CM Evaluations of the Goswami-Sun Series

Madeline Locus Dawsey, Ken Ono

In recent work, Sun constructed two $q$-series, and he showed that their limits as $q\to 1$ give new derivations of the Riemann-zeta values $\zeta (2)={\pi }^2/6$ and $\zeta (4)={\pi }^4/90$. G…