On the zeros of certain modular functions for the normalizers of congruence subgroups of low levels I

Details On the zeros of certain modular functions for the normalizers of congruence subgroups of low levels I On the zeros of certain modular functions for the normalizers of congruence subgroups of low levels I

2008-02-10

arxiv.org/abs/0802.1307v2

Mathematics

Number Theory

66 pages, 51 figures. http://www2.math.kyushu-u.ac.jp/~j.shigezumi/

Scientific paper

We research the location of the zeros of the Eisenstein series and the modular functions from the Hecke type Faber polynomials associated with the normalizers of congruence subgroups which are of genus zero and of level at most twelve. In Part I, we will consider the general theory of modular functions for the normalizers.

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