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The Mason–Stothers theorem, or simply Mason's theorem, is a mathematical theorem about polynomials, analogous to the abc conjecture for integers. It is named after Walter Wilson Stothers, who published it in 1981, and , who rediscovered it shortly thereafter. The theorem states: Let a(t), b(t), and c(t) be relatively prime polynomials over a field such that a + b = c and such that not all of them have vanishing derivative. Then

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  • メーソン・ストーサーズの定理 (ja)
  • Mason–Stothers theorem (en)
  • Теорема Мэйсона — Стотерса (ru)
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  • メーソン・ストーサーズの定理 (Mason–Stothers theorem) または単にメーソンの定理 (Mason's theorem) は多項式に関する数学の定理であり、類似するものに整数についてのABC予想がある。 この定理の名前は、この定理を1981年に発表したW. Wilson Stothersと、続いてすぐに再発見したR. C. Masonから取られている。 (ja)
  • Теорема Мэйсона — Стотерса — аналог abc-гипотезы для многочленов. Названа в честь Стотерса, который опубликовал её в 1981 году, и Мейсона, который вновь открыл её после этого. (ru)
  • The Mason–Stothers theorem, or simply Mason's theorem, is a mathematical theorem about polynomials, analogous to the abc conjecture for integers. It is named after Walter Wilson Stothers, who published it in 1981, and , who rediscovered it shortly thereafter. The theorem states: Let a(t), b(t), and c(t) be relatively prime polynomials over a field such that a + b = c and such that not all of them have vanishing derivative. Then (en)
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  • Mason's Theorem (en)
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  • MasonsTheorem (en)
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  • The Mason–Stothers theorem, or simply Mason's theorem, is a mathematical theorem about polynomials, analogous to the abc conjecture for integers. It is named after Walter Wilson Stothers, who published it in 1981, and , who rediscovered it shortly thereafter. The theorem states: Let a(t), b(t), and c(t) be relatively prime polynomials over a field such that a + b = c and such that not all of them have vanishing derivative. Then Here rad(f) is the product of the distinct irreducible factors of f. For algebraically closed fields it is the polynomial of minimum degree that has the same roots as f; in this case deg(rad(f)) gives the number of distinct roots of f. (en)
  • メーソン・ストーサーズの定理 (Mason–Stothers theorem) または単にメーソンの定理 (Mason's theorem) は多項式に関する数学の定理であり、類似するものに整数についてのABC予想がある。 この定理の名前は、この定理を1981年に発表したW. Wilson Stothersと、続いてすぐに再発見したR. C. Masonから取られている。 (ja)
  • Теорема Мэйсона — Стотерса — аналог abc-гипотезы для многочленов. Названа в честь Стотерса, который опубликовал её в 1981 году, и Мейсона, который вновь открыл её после этого. (ru)
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