Ostrowski'S Theorem

(Theory)

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Theory
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What is Ostrowski's theorem?

In number theory, Ostrowski's theorem, due to Alexander Ostrowski (1916), states that every non-trivial absolute value on the rational numbers is equivalent to either the usual real absolute value or a p-adic absolute value.

Technology Types

propositionstatementtheoremtheorems in algebraic number theorytheorems in number theorytheory

Synonyms

Ostrowski theorem

Translations

Satz von Ostrowski (de)Teorema de Ostrowski (es)Théorème d'Ostrowski (fr)Θεώρημα του Οστρόβσκι (el)Теорема Островського (uk)オストロフスキーの定理 (ja)奥斯特洛夫斯基定理 (zh)

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