Abstract
In this paper we study the Zeta functions on the Gauss integer ring and super Gauss integer ring. We define the super Gauss integer ring Z[θ] = {a + bθ | θ2 = 0, a, b ∈ Z}. There are three different types of norms according to a2, |a| and |a| + |b|. Then we have the three types of Zeta functions with respect to three types of norms, respectivity. We see that the one of the three types coincides with absolute Igusa Zeta on the one dimensional affine space A1(F1) on F1-algebra.
