Explicit generators of the space of modular forms

Abstract

Let $S_{\hat{I}}º$ be the space of cusp forms of weight $\hat{I}º$ and level one, and let $S_{\hat{I}}{º}^{\ast }$ denote its dual space. In this paper, we find explicit spanning subsets of $S_{\hat{I}}º$ consisting of Rankin-Cohen brackets of Eisenstein series and explicit subsets of periods that span $S_{\hat{I}}{º}^{\ast }$.

to appear in the Ramanujan Journal