Estimates on the zeros of $E_2$

Özlem Imamoglu, Jonas Jermann, Árpád Tóth

We improve the results from [EBS10] about the Eisenstein series $E_2(z)=1-24{\sum }_{n=1}^{\infty }\frac{n{q}^n}{1-q^n}$. In particular we show that there exists exactly one (simple) zero…