Arithmeticity of Some Hypergeometric Groups

Jitendra Bajpai; Sandip Singh; Shashank Vikram Singh

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arXiv · 2201.08586

Arithmeticity of Some Hypergeometric Groups

Jitendra Bajpai·Sandip Singh·Shashank Vikram Singh

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Abstract

We show that the hypergeometric groups associated to the pairs of the parameters $\left(0,0,\frac{1}{3}, \frac{2}{3}\right)$, $\left(\frac{1}{2},\frac{1}{2},\frac{1}{4},\frac{3}{4}\right)$; and $\left(0,\frac{1}{12}, \frac{5}{12},\frac{7}{12},\frac{11}{12}\right), \left(\frac{1}{2},\frac{1}{3},\frac{1}{3},\frac{2}{3},\frac{2}{3}\right)$ are arithmetic.

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Jitendra Bajpai, Sandip Singh, Shashank Vikram Singh. 2022-01-21. Arithmeticity of Some Hypergeometric Groups. https://arxiv.org/abs/2201.08586

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