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

摘要

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 ("On the zeros of Eisenstein series", 1970).