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arXiv · 2606.02792

Explicit generators of the space of modular forms

Tianyu Ni·Ashley Song·Yanhui Su·Hui Xue·Amanda Yin
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Abstract

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

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Tianyu Ni, Ashley Song, Yanhui Su, Hui Xue, Amanda Yin. 2026-06-01. Explicit generators of the space of modular forms. https://arxiv.org/abs/2606.02792

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