Grunwald–Wang theorem
In algebraic number theory, the Grunwald–Wang theorem is a local-global principle stating 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 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.
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Grunwald–Wang theorem
In algebraic number theory, the Grunwald–Wang theorem is a local-global principle stating 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 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.
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En théorie algébrique des nomb ...... r Shianghao Wang (en) en 1948.
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In algebraic number theory, th ...... wers is a consequence of this.
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Shianghao Wang
Wilhelm Grunwald
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Some days later I was with Art ...... cing anything, could be wrong.
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John Tate, quoted in
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En théorie algébrique des nomb ...... presque tout nombre premier p.
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In algebraic number theory, th ...... e of a local-global principle.
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Grunwald–Wang theorem
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Théorème de Grunwald-Wang
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