e/Abc conjecture

Information
has gloss	eng: The abc conjecture is a conjecture in number theory, first proposed by Joseph Oesterlé and David Masser in 1985. The conjecture is stated in terms of three positive integers, a, b and c (whence comes the name), which have no common factor and satisfy a + b = c. If d denotes the product of the distinct prime factors of abc, the conjecture essentially states that d is rarely much smaller than c.
lexicalization	eng: Abc Conjecture
instance of	(noun) a hypothesis that has been formed by speculating or conjecturing (usually with little hard evidence); "speculations about the outcome of the election"; "he dismissed it as mere conjecture" conjecture, speculation

Meaning
Bengali
has gloss	ben: ১৯৮৫ সালে Joseph Oesterlé এবং David Masser abc অনুমানটি বর্ণনা করেন।
lexicalization	ben: Abc অনুমান
German
has gloss	deu: Die abc-Vermutung ist eine 1985 von Joseph Oesterlé und David Masser aufgestellte mathematische Vermutung. Dabei geht es um eine Eigenschaft von Tripeln von zueinander teilerfremden natürlichen Zahlen, bei denen die dritte die Summe der beiden anderen ist.
lexicalization	deu: abc-Vermutung
Finnish
has gloss	fin: Abc-konjektuuri on lukuteorian avoin ongelma, jonka määrittelivät Joseph Oesterlé ja David Masser vuonna 1985.
lexicalization	fin: Abc konjektuuri
lexicalization	fin: Abc-konjektuuri
lexicalization	fin: {{lcfirst:{{PAGENAME}}}}
French
has gloss	fra: La conjecture abc est une conjecture en théorie des nombres. Elle a été formulée pour la première fois par Joseph Oesterlé et David Masser en 1985. Si elle était vérifiée, elle permettrait de démontrer aisément le théorème de Fermat-Wiles, entre autres.
lexicalization	fra: conjecture abc
Hungarian
has gloss	hun: Az abc-sejtés a számelméletben a következő állítás: minden \epsilon>0 értékhez van olyan K, hogy ha a, b, c egymáshoz relatív prím, nemnulla egész számok és a+b=c, akkor
lexicalization	hun: abc-sejtés
Dutch
has gloss	nld: Het ABC-vermoeden is een vermoeden (d.w.z. een uitspraak waarvan men vermoedt, maar niet heeft bewezen, dat hij waar is) uit de getaltheorie.
lexicalization	nld: ABC-vermoeden
Castilian
has gloss	spa: En teoría de números, la conjetura abc fue formulada por primera vez por Joseph Oesterlé y David Masser en el año 1985.
lexicalization	spa: Conjetura abc
Turkish
has gloss	tur: abc sanısı sayılar teorisindeki bir sanı yani konjektürdür. 1985'te Joseph Oesterlé ve David Masser tarafından ortaya atılmıştır. Biri diğer ikisinin toplamı şeklinde ifade edilen üç tamsayının özellikleri üzerine kurulmuştur. Problemi çözmek için açık bir strateji bulunmadığı halde, sanı bazı ilginç sonuçları sayesinde tanınmıştır.
lexicalization	tur: abc sanısı
Vietnamese
has gloss	vie: Giả định abc là một giả định toán học, được phát biểu ban đầu năm 1985 bởi Joseph Oesterlé và đưọc tổng quát hóa sau đó bởi David Masser. Giả định này có thể liên quan đến việc nghiên cứu về các phương trình Diophantine chẳng hạn như là về số nghiệm hữu hạn của định lý Fermat lớn, một định lý nổi tiếng của Pierre de Fermat.
lexicalization	vie: Giả định abc
Chinese
has gloss	zho: abc猜想最先由Joseph Oesterlé及David Masser在1985年提出。它說明對於任何\varepsilon >0，存在常數C_\varepsilon}>0，並對於任何三個滿足a+b=c及a, b互質的正整數a, b, c，有：
lexicalization	zho: abc猜想

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Language:	(ISO 639-3 code, e.g. "eng" for English)

e/Abc conjecture

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