Eisenstein series identities based on partial fraction decomposition

Minoru Hirose, Nobuo Sato, Koji Tasaka

From the theory of modular forms, there are exactly $[(k-2)/6]$ linear relations among the Eisenstein series $E_k$ and its products $E_{2i}{E}_{k-2i}(2\le i\le [k/4])$. We present…