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A refinement of the abc conjecture
Author(s) -
Robert Olivier,
Stewart Cameron L.,
Tenenbaum Gérald
Publication year - 2014
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdu069
Subject(s) - mathematics , conjecture , pure mathematics , combinatorics
Based on recent work, by the first and third authors, on the distribution of the squarefree kernel of an integer, we present precise refinements of the famous a b c conjecture. These rest on the sole heuristic assumption that, whenever a and b are coprime, then the kernels of a , b and c = a + b are statistically independent.
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