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  • Minimal rank of universal l...
    Man, Siu Hang

    Advances in mathematics (New York. 1965), June 2024, 2024-06-00, Letnik: 447
    Journal Article

    We establish an upper bound on the number of real multiquadratic fields that admit a universal quadratic lattice of a given rank, or contain a given amount of indecomposable elements modulo totally positive units, obtaining density zero statements. We also study the structure of indecomposable elements in real biquadratic fields, and compute a system of indecomposable elements modulo totally positive units for some families of real biquadratic fields.