Estimates on the zeros of E2

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 ∑ 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.

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Bibliographic Details
Published in:Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2014-04, Vol.84 (1), p.123-138
Main Authors: Imamoḡlu, Özlem, Jermann, Jonas, Tóth, Árpád
Format: Article
Language:English
Subjects:
Algebra
Differential Geometry
Geometry
Mathematics
Mathematics and Statistics
Number Theory
Topology
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Summary: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 ∑ 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.
ISSN:0025-5858
1865-8784
DOI:10.1007/s12188-014-0091-9