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Manjul Bhargava, Piper H, The equidistribution of lattice shapes of rings of integers in cubic, quartic, quintic number fields, Compositio Mathematica 152 ( · 2016

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The shapes of Galois quartic fields

math.NT · 2019-08-11 · accept · novelty 7.0

All Galois quartic fields have shapes that are orthorhombic for V4 groups (with regularized equidistribution) and tetragonal for C4 groups (with explicit per-shape counting asymptotics).

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  • The shapes of Galois quartic fields math.NT · 2019-08-11 · accept · none · ref 2

    All Galois quartic fields have shapes that are orthorhombic for V4 groups (with regularized equidistribution) and tetragonal for C4 groups (with explicit per-shape counting asymptotics).