Stothers–Mason theorem

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs Mason–Stothers theorem
abc theorem
gptkbp:appliesTo polynomials over a field
gptkbp:field gptkb:algebra
number theory
https://www.w3.org/2000/01/rdf-schema#label Stothers–Mason theorem
gptkbp:inspiredBy gptkb:abc_conjecture
gptkbp:namedAfter gptkb:W._W._Stothers
R. C. Mason
gptkbp:sentence If a(x), b(x), c(x) are coprime polynomials over a field, not all constant, and a(x) + b(x) = c(x), then max(deg a, deg b, deg c) ≤ deg(rad(abc)) - 1.
gptkbp:yearProved 1971
gptkbp:bfsParent gptkb:Kathleen_Stothers-Holmes
gptkbp:bfsLayer 6