Last Updated
：2025/12/05
Roth's theorem
Proper noun
Japanese Meaning
ロスの定理：代数数に対するディオファントス近似において、代数数が非常に精度の高い有理数近似を多数持つことはできないことを示す、数学における基本的な定理。
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(mathematics) A fundamental result in Diophantine approximation to algebraic numbers, stating that these numbers cannot have many rational number approximations that are 'very good' (variously defined through history).
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Roth's theorem
Roth's theorem implies that algebraic numbers cannot have infinitely many exceptionally close rational approximations.
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Roth's theorem implies that algebraic numbers cannot have infinitely many exceptionally close rational approximations.
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