Estimates on the zeros of $E_2$

\'Arp\'ad T\'oth; Jonas Jermann; \"Ozlem Imamo\=glu

arxiv: 1312.3119 · v2 · pith:CYZ4UJ4Inew · submitted 2013-12-11 · 🧮 math.NT

Estimates on the zeros of E₂

\"Ozlem Imamo\=glu , Jonas Jermann , \'Arp\'ad T\'oth This is my paper

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keywords approximationcircleebs10eisensteinestimatesexactlyexistsford

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We improve the results from [EBS10] 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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Estimates on the zeros of E₂

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