Shintani's unit theorem

In mathematics, Shintani's unit theorem introduced by Shintani (1976,proposition 4) is a refinement of Dirichlet's unit theorem and states that a subgroup of finite index of the totally positive units of a number field has a fundamental domain given by a rational polyhedric cone in the Minkowski space of the field (Neukirch 1999, p. 507).

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