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math.NT2022★ 1 cited
A generalization of Iseki Formula and the transformation of
Maher Me'meh, Ali Saraeb
In this paper we give a generalization of Iseki's formula and use it to prove the transformation law of .
math.CV2022
Generalization of Siegel's Method to theta 1
Maher Me'meh, Ali Saraeb
We present a new proof of the transformation law of under the action of the generator of the full modular group using Siegel's method.
math.NT2022
A New Proof For The Transformation Laws of Theta Functions
Maher Me'meh, Ali Saraeb
We prove the transformation laws of the four Jacobi theta functions using Gordon's proof for the transformation law of the Dedekind eta function.