On the distribution of the zeros of Eisenstein series for Γ0∗(5)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Gamma _0^*(5)$$\end{document} and Γ0∗(7)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Gamma _0^*(7)$$\end{document}

被引：0
作者：
Seiji Kuga
机构：
[1] Kyushu University,Graduate School of Mathematics
来源：
The Ramanujan Journal | 2022年 / 58卷 / 4期
关键词：
Modular forms; Fricke groups; Eisenstein series; 11F03; 11F11;
D O I：
10.1007/s11139-022-00557-5
中图分类号：
学科分类号：
摘要：
The goal of the present paper is to show that all the zeros of the Eisenstein series for Γ0∗(5)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Gamma _0^*(5)$$\end{document} and Γ0∗(7)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Gamma _0^*(7)$$\end{document} on the standard fundamental domain lie on the lower boundary arcs. These are improvements of the results in Shigezumi (Kyushu J Math 61:527–549, 2007).
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页码：995 / 1010
页数：15
相关论文
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Kuga S(undefined)On the zeros of Eisenstein series for undefined undefined undefined-undefined
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