On the zeros of Eisenstein series for Γ^*₀(2) and Γ^*₀(3)

Abstract

We locate all of the zeros of the Eisenstein series associated with the Fricke groups Γ^*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 (“On the zeros of Eisenstein series”, 1970).