KnowraDirichlet's unit theoremLinked fromLinked fromThe 6 pages that link to Dirichlet's unit theorem, each with the reason it gives.All 6Related 6Dirichlet's theorem on arithmetic progressionsRelated: It is another central result associated with Dirichlet’s use of structural methods in number theory.Algebraic integerRelated: It gives a precise account of invertible algebraic integers.Algebraic number fieldRelated: It gives the structure and rank of the field's invertible algebraic integers.Class number formulaRelated: It determines the regulator and unit-rank factors in the formula.Kummer–Vandiver conjectureRelated: It explains the real unit group involved in class-number formulas for cyclotomic fields.Leopoldt's conjectureRelated: It supplies the global unit rank appearing in the conjecture.