KnowraRing of integersLinked fromLinked fromThe 15 pages that link to Ring of integers, each with the reason it gives.All 15Broader topic 5Related 9Narrower topic 1Richard DedekindRelated: Dedekind analyzed these rings as the natural setting for number-field arithmetic.Ideal class groupRelated: Its ideals provide the standard arithmetic setting for class groups.Dedekind zeta functionRelated: The function sums ideals in this ring rather than ideals in the field itself.Ernst KummerRelated: Kummer’s factorization difficulties arose in rings of integers of cyclotomic fields.Dirichlet's unit theoremRelated: Its invertible elements are the units whose rank the theorem computes.Hilbert class fieldRelated: Its ideals supply the arithmetic objects used in the class group and Artin map.DiscriminantRelated: The discriminant belongs to this ring’s arithmetic structure, not merely to an arbitrary field basis.Birch–Tate conjectureRelated: This is the ring whose second K-group appears in the statement.Stark–Heegner theoremRelated: Its ideals determine the class number and discriminant used in the classification.