Seminar
Irreducibility of the zero polynomial of Eisenstein series, Dr. Oscar E. González, , Fri, 31 March, 2023, 12:30 p.m. Zoom Meeting
Abstract
Let Ek be the normalized Eisenstein series of weight k on SL2(Z). Let $\varphi_k$ be the polynomial that encodes the j-invariants of non-elliptic zeros of Ek. In 2001, Gekeler observed that the polynomials $\varphi_k$ seem to be irreducible (and verified this claim for k < 446). We show that $\varphi_k$ is irreducible for infinitely many k.