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- Q306393 subject Q6248542.
- Q306393 subject Q7132786.
- Q306393 subject Q7217289.
- Q306393 abstract "The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory, first proposed by Joseph Oesterlé (1988) and David Masser (1985). It is stated in terms of three positive integers, a, b and c (hence the name) that are relatively prime 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.".
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- Q306393 wikiPageExternalLink Elkies%20-%20ABCs%20of%20Number%20Theory.pdf?sequence=2.
- Q306393 wikiPageExternalLink fea-granville.pdf.
- Q306393 wikiPageExternalLink easy-as-abc.
- Q306393 wikiPageExternalLink philosophy-behind-mochizukis-work-on-the-abc-conjecture.
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- Q306393 wikiPageExternalLink abcconj.pdf.
- Q306393 wikiPageExternalLink NoSiegelfinal.pdf.
- Q306393 wikiPageExternalLink polysq3.pdf.
- Q306393 wikiPageExternalLink news-english.html.
- Q306393 wikiPageExternalLink ABC-Conjecture.pdf.
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- Q306393 comment "The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory, first proposed by Joseph Oesterlé (1988) and David Masser (1985). It is stated in terms of three positive integers, a, b and c (hence the name) that are relatively prime 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.".
- Q306393 label "Abc conjecture".