On the zeros of Eisenstein series for $Gamma_0^*(p)$ and $Gamma_0(p)$ of low levels

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On the zeros of Eisenstein series for $Gamma_0^*(p)$ and $Gamma_0(p)$ of low levels

Format:
Thesis/Dissertation
Kyushu Univ. Production Kyushu Univ. Production
Responsibility:
Shigezumi, Junichi(Graduate School of Mathematics, Kyushu University: Student (M2) : Algebraic Combinatorics)
重住, 淳一(九州大学大学院 数理学府: 学生(M2): 代数的組合せ論)
Language:
English
Academic Year Conferred :
2005.
Conferring University:
Kyushu University.
Degree:
MASTER
Degree Type:
Master's Degree
Version:
Publisher
Abstract:
We decide the locating of all the zeros of Eisenstein series associated with the Fricke groups $Gamma_0^*(2)$ and $Gamma_0^*(3)$ in their fundamental domains with applying the method of F. K. C. Rankin and H. P. F. Swinnerton-Dyer. Also, we give some more consideration on $Gamma_0^*(p)$ and $Gamma_0(p)$ of low levels.
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