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

Yıl 2017, Cilt: 5 Sayı: 2, 186 - 192, 30.03.2017

İsmet Yildiz , Pinar Kahraman Deniz Yetkin Barbaros Celik

https://izlik.org/JA82FJ95TP

Öz

 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.

Anahtar Kelimeler

Theta functions , Dedekinds function , periods pair

Kaynakça

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• Tom M. Apostol., Modular functions and Dirichled Series in Number theory.California institute of technology. January.1976.