KnowraErnst KummerLinked fromLinked fromThe 12 pages that link to Ernst Kummer, each with the reason it gives.All 12Related 12Fermat's Last TheoremRelated: His ideal-number methods settled many prime-exponent cases before the general proof.Algebraic number theoryRelated: His response to failed unique factorization anticipated the modern theory of ideals.Karl WeierstrassRelated: Kummer recognized Weierstrass's work and helped secure his appointment at the University of Berlin.Ring of integersRelated: His ideal numbers anticipated the ideals used to restore factorization in rings of integers.Ideal class groupRelated: His ideal numbers anticipated the ideal-theoretic framework behind class groups.Algebraic integerRelated: His work on cyclotomic integers helped shape modern algebraic number theory.Leopold KroneckerRelated: Kummer’s work on ideals formed a major background to Kronecker’s arithmetic algebra.Sophie Germain primeRelated: Kummer's later work extended the prime-based approaches Germain had helped advance.Class number formulaRelated: His ideal-theoretic investigations helped establish the setting for class-number questions.Sophie Germain's theoremRelated: His later approach extended prime-exponent results beyond Germain’s conditions.Gotthold EisensteinRelated: Kummer’s research on cyclotomic fields formed a close contemporary context for Eisenstein’s number theory.Kummer–Vandiver conjectureRelated: Kummer’s investigations of Fermat’s Last Theorem and cyclotomic fields supplied the conjecture’s background.