On Theta Functions and Dedekind’s function according to the changes in the value periods

It's a reality that there is a relationship between a sigma function of Weierstrass and a theta function. We know that an elliptic function can be set up using the theta functions just as it can be established with the help of sigma function of Weierstrass. In this study, we investigate relations between the Dedekind's -function and -theta function by the using characteristic values (mod2) for -function according to the pair , where complex numbers satisfying ? 0 . Also, we give the transformations among the theta functions according to the quarter periods and obtain a Jacobian style elliptic function by the help of a function we define.