Estimates on the zeros of $$E_2$$ E 2
Imamoḡlu, Özlem ; Jermann, Jonas ; Tóth, Árpád
In: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2014, vol. 84, no. 1, p. 123-138
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- We improve the results from El Basraoui (Proc Amer Math Soc 138(7):2289-2299, 2010) about the Eisenstein series $$E_2(z)=1-24\sum _{n=1}^\infty \frac{nq^n}{1-q^n}$$ E 2 ( z ) = 1 - 24 ∑ n = 1 ∞ n q n 1 - q n . In particular we show that there exists exactly one (simple) zero in each Ford circle and give an approximation to its location.