On the zeros of Eisenstein series for $Γ_0^* (2)$ and $Γ_0^* (3)$

Details On the zeros of Eisenstein series for $Γ_0^* (2)$ and $Γ_0^* (3)$ On the zeros of Eisenstein series for $Γ_0^* (2)$ and $Γ_0^* (3)$

2006-07-18

arxiv.org/abs/math/0607408v1

J. Math. Soc. Japan, 59 (2007), 693-706.

Mathematics

Number Theory

9 pages, no figure

Scientific paper

10.2969/jmsj/05930693

We locate all of the zeros of the Eisenstein series associated with the
Fricke groups $\Gamma_0^{*}(2)$ and $\Gamma_0^{*}(3)$ in their fundamental
domains by applying and expanding the method of F. K. C. Rankin and H. P. F.
Swinnerton-Dyer (``{\it On the zeros of Eisenstein series}'', 1970).

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