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- Abc_conjecture abstract "The abc conjecture (also known as Oesterlé–Masser conjecture) is a conjecture in number theory, first proposed by Joseph Oesterlé (1988) and David Masser (1985) as an integer analogue of the Mason–Stothers theorem for polynomials. The conjecture is stated in terms of three positive integers, a, b and c (hence 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 usually not much smaller than c. In other words: if a and b are composed from large powers of primes, then c is usually not divisible by large powers of primes. The precise statement is given below.The abc conjecture has already become well known for the number of interesting consequences it entails. Many famous conjectures and theorems in number theory would follow immediately from the abc conjecture. Goldfeld (1996) described the abc conjecture as "the most important unsolved problem in Diophantine analysis".Several solutions have been proposed to the abc conjecture, the most recent of which is still being evaluated by the mathematical community, though it still remains open as of February 2014.".
- Abc_conjecture wikiPageExternalLink abcathome.com.
- Abc_conjecture wikiPageExternalLink easy-as-abc.
- Abc_conjecture wikiPageExternalLink philosophy-behind-mochizukis-work-on-the-abc-conjecture.
- Abc_conjecture wikiPageExternalLink index.php?title=ABC_conjecture.
- Abc_conjecture wikiPageExternalLink abcconj.pdf.
- Abc_conjecture wikiPageExternalLink fea-granville.pdf.
- Abc_conjecture wikiPageExternalLink NoSiegelfinal.pdf.
- Abc_conjecture wikiPageExternalLink polysq3.pdf.
- Abc_conjecture wikiPageExternalLink ABC-Conjecture.pdf.
- Abc_conjecture wikiPageExternalLink scanQuest.pdf.
- Abc_conjecture wikiPageExternalLink abc.
- Abc_conjecture wikiPageExternalLink abc.html.
- Abc_conjecture wikiPageExternalLink item?id=SB_1987-1988__30__165_0.
- Abc_conjecture wikiPageExternalLink mathland.htm.
- Abc_conjecture wikiPageExternalLink elkies.pdf.
- Abc_conjecture wikiPageExternalLink watch?v=RkBl7WKzzRw.
- Abc_conjecture wikiPageID "174108".
- Abc_conjecture wikiPageRevisionID "606526854".
- Abc_conjecture authorlink "David Masser".
- Abc_conjecture authorlink "Joseph Oesterlé".
- Abc_conjecture first "David".
- Abc_conjecture first "Joseph".
- Abc_conjecture hasPhotoCollection Abc_conjecture.
- Abc_conjecture last "Masser".
- Abc_conjecture last "Oesterlé".
- Abc_conjecture title "abc Conjecture".
- Abc_conjecture urlname "abcConjecture".
- Abc_conjecture year "1985".
- Abc_conjecture year "1988".
- Abc_conjecture subject Category:Conjectures.
- Abc_conjecture subject Category:Number_theory.
- Abc_conjecture subject Category:Unsolved_problems_in_mathematics.
- Abc_conjecture type Abstraction100002137.
- Abc_conjecture type Cognition100023271.
- Abc_conjecture type Concept105835747.
- Abc_conjecture type Conjectures.
- Abc_conjecture type Content105809192.
- Abc_conjecture type Hypothesis105888929.
- Abc_conjecture type Idea105833840.
- Abc_conjecture type PsychologicalFeature100023100.
- Abc_conjecture type Speculation105891783.
- Abc_conjecture comment "The abc conjecture (also known as Oesterlé–Masser conjecture) is a conjecture in number theory, first proposed by Joseph Oesterlé (1988) and David Masser (1985) as an integer analogue of the Mason–Stothers theorem for polynomials. The conjecture is stated in terms of three positive integers, a, b and c (hence the name), which have no common factor and satisfy a + b = c.".
- Abc_conjecture label "ABC-vermoeden".
- Abc_conjecture label "ABC予想".
- Abc_conjecture label "Abc conjecture".
- Abc_conjecture label "Abc-Vermutung".
- Abc_conjecture label "Abc-гипотеза".
- Abc_conjecture label "Abc猜想".
- Abc_conjecture label "Congettura abc".
- Abc_conjecture label "Conjecture abc".
- Abc_conjecture label "Conjetura abc".
- Abc_conjecture label "Hipoteza ABC".
- Abc_conjecture label "حدسية abc".
- Abc_conjecture sameAs Abc-Vermutung.
- Abc_conjecture sameAs Conjetura_abc.
- Abc_conjecture sameAs Conjecture_abc.
- Abc_conjecture sameAs Congettura_abc.
- Abc_conjecture sameAs ABC予想.
- Abc_conjecture sameAs Abc_추측.
- Abc_conjecture sameAs ABC-vermoeden.
- Abc_conjecture sameAs Hipoteza_ABC.
- Abc_conjecture sameAs m.017hfr.
- Abc_conjecture sameAs Q306393.
- Abc_conjecture sameAs Q306393.
- Abc_conjecture sameAs Abc_conjecture.
- Abc_conjecture wasDerivedFrom Abc_conjecture?oldid=606526854.
- Abc_conjecture isPrimaryTopicOf Abc_conjecture.