The abc-conjecture is true for at least $N(c), 1 \leq N(c) <ϕ(c)/2$, partitions a, b of c

dc.creatorPetridi, Constantin M.
dc.date2003-01-07
dc.date.accessioned2026-07-07T04:54:18Z
dc.date.available2026-07-07T04:54:18Z
dc.descriptionWe prove that for any positive integer c there are at least N(c), $1\leq N(c) < ϕ(c)/2$ representations of c as a sum of two positive integers a, b, with no common divisor, such that the N(c) radicals R(abc) are all greater than kc, where k an absolute constant.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0301050
dc.identifierhttp://arxiv.org/abs/math/0301050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66194
dc.subjectNumber Theory
dc.titleThe abc-conjecture is true for at least $N(c), 1 \leq N(c) <ϕ(c)/2$, partitions a, b of c
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