Estimates on the zeros of E_2 |
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| Authors: | Özlem Imamoḡlu Jonas Jermann Árpád Tóth |
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| Institution: | 1. Department of Mathematics, ETH, Zurich, Switzerland
2. Eotvos Lorand University, Budapest, Hungary
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| Abstract: | We improve the results from El Basraoui (Proc Amer Math Soc 138(7):2289–2299, 2010) about the Eisenstein series $E_2(z)=1-24\sum _{n=1}^\infty \frac{nq^n}{1-q^n}$ . In particular we show that there exists exactly one (simple) zero in each Ford circle and give an approximation to its location. |
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