On the zeros of Eisenstein series for $\Gamma_0^* (2)$ and $\Gamma_0^*   (3)$
  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). 
Tsuyoshi Miezaki, Hiroshi Nozaki, Junichi Shigezumi