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On the zeros of Eisenstein series for $\Gamma_0^* (5)$ and $\Gamma_0^* (7)$

Junichi Shigezumi
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Abstract

We locate almost all the zeros of the Eisenstein series associated with the Fricke groups of level 5 and 7 in their fundamental domains by applying and extending the method of F. K. C. Rankin and H. P. F. Swinnerton-Dyer (1970). We also use the arguments of some terms of the Eisenstein series in order to improve existing error bounds.

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BibTeXRIS

Junichi Shigezumi. 2006-07-18. On the zeros of Eisenstein series for $\Gamma_0^* (5)$ and $\Gamma_0^* (7)$. https://doi.org/10.2206/kyushujm.61.527

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