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On the zeros of Eisenstein series for Γ0* (2) and Γ0* (3)

Tsuyoshi Miezaki, Hiroshi Nozaki, Junichi Shigezumi

math.NTarXiv:math/0607408

Abstract

We locate all of the zeros of the Eisenstein series associated with the Fricke groups Γ0*(2) and Γ0*(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).

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