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#dirichlet's_unit_theorem

Dirichlet's unit theorem

Gives the rank of the group of units in the ring of algebraic integers of a number field

In mathematics, Dirichlet's unit theorem is a basic result in algebraic number theory due to Peter Gustav Lejeune Dirichlet. It determines the rank of the group of units in the ring OK of algebraic integers of a number field K. The regulator is a positive real number that determines how "dense" the units are.

Wed 19th

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Dirichlet's unit theorem Dirichlet's theorem Fundamental unit (number theory) Peter Gustav Lejeune Dirichlet Algebraic number theory Unit (ring theory) S-unit Brauer–Siegel theorem Adele ring Minkowski's theorem
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