Explicit generators of the space of modular forms

Tianyu Ni, Ashley Song, Yanhui Su +2

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 $S_{\hat{I}}º$ consisti…