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- Grunwald–Wang_theorem abstract "In algebraic number theory, the Grunwald–Wang theorem states that—except in some precisely defined cases—an element x in a number field K is an nth power in K if it is an nth power in the completion for almost all (i.e. all but finitely many) primes of K. For example, a rational number is a square of a rational number if it is a square of a p-adic number for almost all primes p. The Grunwald–Wang theorem is an example of a local-global principle.It was introduced by Wilhelm Grunwald (1933), but there was a mistake in this original version that was found and corrected by Shianghao Wang (1948).".
- Grunwald–Wang_theorem wikiPageID "20901695".
- Grunwald–Wang_theorem wikiPageRevisionID "569372352".
- Grunwald–Wang_theorem align "right".
- Grunwald–Wang_theorem authorlink "Shianghao Wang".
- Grunwald–Wang_theorem authorlink "Wilhelm Grunwald".
- Grunwald–Wang_theorem first "Shianghao".
- Grunwald–Wang_theorem first "Wilhelm".
- Grunwald–Wang_theorem last "Grunwald".
- Grunwald–Wang_theorem last "Wang".
- Grunwald–Wang_theorem quote "Some days later I was with Artin in his office when Wang appeared. He said he had a counterexample to a lemma which had been used in the proof. An hour or two later, he produced a counterexample to the theorem itself... Of course he [Artin] was astonished, as were all of us students, that a famous theorem with two published proofs, one of which we had all heard in the seminar without our noticing anything, could be wrong.".
- Grunwald–Wang_theorem source "John Tate, quoted in".
- Grunwald–Wang_theorem width "30.0".
- Grunwald–Wang_theorem year "1933".
- Grunwald–Wang_theorem year "1948".
- Grunwald–Wang_theorem subject Category:Class_field_theory.
- Grunwald–Wang_theorem subject Category:Theorems_in_algebraic_number_theory.
- Grunwald–Wang_theorem comment "In algebraic number theory, the Grunwald–Wang theorem states that—except in some precisely defined cases—an element x in a number field K is an nth power in K if it is an nth power in the completion for almost all (i.e. all but finitely many) primes of K. For example, a rational number is a square of a rational number if it is a square of a p-adic number for almost all primes p.".
- Grunwald–Wang_theorem label "Grunwald–Wang theorem".
- Grunwald–Wang_theorem sameAs Grunwald%E2%80%93Wang_theorem.
- Grunwald–Wang_theorem sameAs Q5612159.
- Grunwald–Wang_theorem sameAs Q5612159.
- Grunwald–Wang_theorem wasDerivedFrom Grunwald–Wang_theorem?oldid=569372352.