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On the elliptic points of the Hilbert modular group of the totally real cyclotomic cubic field \({\mathbb Q (\zeta_9)}^+\) - MaRDI portal

On the elliptic points of the Hilbert modular group of the totally real cyclotomic cubic field \({\mathbb Q (\zeta_9)}^+\) (Q2871075)

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scientific article; zbMATH DE number 6248812
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English
On the elliptic points of the Hilbert modular group of the totally real cyclotomic cubic field \({\mathbb Q (\zeta_9)}^+\)
scientific article; zbMATH DE number 6248812

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    21 January 2014
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    cyclotomic cubic field
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    Hilbert modular group
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    elliptic point
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    ring of integers
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    On the elliptic points of the Hilbert modular group of the totally real cyclotomic cubic field \({\mathbb Q (\zeta_9)}^+\) (English)
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    Let \(\zeta\) be a primitive \(9\)th root of unity. The author determines explicitly the elliptic points with respect to the Hilbert modular group associated with the totally real cyclotomic cubic field \(\mathbb{Q}(\zeta + \zeta^{-1})\).
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