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The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields
- Part of
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- Journal:
- Compositio Mathematica / Volume 152 / Issue 6 / June 2016
- Published online by Cambridge University Press:
- 15 April 2016, pp. 1111-1120
- Print publication:
- June 2016
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- Article
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- You have access
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For
$n=3$, 
$4$, and 5, we prove that, when 
$S_{n}$-number fields of degree 
$n$ are ordered by their absolute discriminants, the lattice shapes of the rings of integers in these fields become equidistributed in the space of lattices.
