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

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