On the zeros of Eisenstein series for $\Gamma_0^* (2)$ and $\Gamma_0^* (3)$

Hiroshi Nozaki; Junichi Shigezumi; Tsuyoshi Miezaki

arxiv: math/0607408 · v1 · submitted 2006-07-18 · 🧮 math.NT

On the zeros of Eisenstein series for Gamma₀^* (2) and Gamma₀^* (3)

Tsuyoshi Miezaki , Hiroshi Nozaki , Junichi Shigezumi This is my paper

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keywords gammaeisensteinserieszerosapplyingassociateddomainsexpanding

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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).

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On the zeros of Eisenstein series for Gamma₀^* (2) and Gamma₀^* (3)

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