Sofiane Abdelhamid Atmani

In this work, using quotients of Dedekind eta functions of weight 1 2 $$ \frac{1}{2} $$ , we express certain Eisenstein series associated with congruence subgroups Γ 0 ( p ) , p = 5 , 7 , 13 $$ {\Gamma}_0(p),\kern3.0235pt p=5,\kern0.3em 7,\kern0.3em 13 $$ , of arbitrary weight. We then obtain new Ramanujan type identities on partition functions associated with certain eta quotients. The method we apply in this work is inspired by the work of Fine, Kolberg, and Garvan on Eisenstein series.