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

Miezaki, Tsuyoshi; Nozaki, Hiroshi; Shigezumi, Junichi

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

Authors

Miezaki, Tsuyoshi

Nozaki, Hiroshi

Shigezumi, Junichi

Description

We locate all of the zeros of the Eisenstein series associated with the Fricke groups $Γ_0^{*}(2)$ and $Γ_0^{*}(3)$ 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).
9 pages, no figure