On the zeros of Eisenstein series for $Gamma_0^*(p)$ and $Gamma_0(p)$ of low levels
Kyushu Univ. Production
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)
- Academic Year Conferred :
- Conferring University:
- Kyushu University.
- Degree Type:
- Master's Degree
- 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.