On the property between theta functions and Dedekind’s function according to the changes in the value periods

On the property between theta functions and Dedekind’s function according to the changes in the value periods

 In the study, two relations between the Dedekind’s h-function and q - function were established by using characteristic values (e ,e ′) ≡ (0,0), (0,1)(mod2) for q -function according to 1/ 8 coefficient of period pair(u,t ). The transformations among the theta functions according to the periods have been given and a Jacobian style elliptic functions has been set up the theta function by the help of a defined function.

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