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Let G be the group of the fractional linear transformations generated by $$T(\tau ) = \tau + \lambda ,S(\tau ) = \frac{{\tau \cos \frac{\pi }{n} + \sin \frac{\pi }{n}}}{{ - \tau \sin \frac{\pi }{n} + \cos \frac{\pi }{n}}};$$ T ( τ ) = τ + λ , S ( τ ) = τ cos π n + sin π n − τ sin π n + cos π n ; where $$\lambda = 2\frac{{\cos \frac{\pi }{m} + \cos \frac{\pi }{n}}}{{\sin \frac{\pi }{n}}};$$ λ = 2 cos π m + cos π n sin π n ; m, n is a pair of integers with either n ≥ 2,m ≥ 3 or n ≥ 3,m ≥ 2; τ lies in the upper half plane H.
Acta Mathematica Sinica, English Series – Springer Journals
Published: May 7, 2018
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