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A new number field construction of the D4-lattice

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A classical problem in lattice theory is to determine whether a given lattice can be realized as OK-lattice, where OK is the ring of integers of some number field K. In this work we show that the lattice D4 can be realized as an OF -lattice for infinitely many totally real biquadratic fields F.

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English

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International Journal of Applied Mathematics, v. 31, n. 2, p. 299-305, 2018.

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