Abstract. 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.

Abstract The disturbed elastic fields of a curvilinear inclusion in an isotropic plane are investigated analytically by newly proposed technique. boundary the is characterized arbitrary Laurent polynomials 2D Cartesian coordinate system, and constant eigenstrains considered to occur inclusion. Based on irreducible decomposition tensor, Eshelby tensor attributed two integrals curved analytical s...