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引用次数: 0
摘要
． 我们证明了不存在两个适当的幂和的完美二元多项式R，并且可能R = P +1且P不可约。这些证明来自多项式的abc定理和一个经典恒等式的类似结果。
MASON-STOTHERS THEOREM AND PERFECT BINARY POLYNOMIALS
. We prove that there is no perfect binary polynomial R that is the sum of two appropriate powers, besides, possibly R = P +1 with P irreducible. The proofs follow from analogue results involving the ABC-theorem for polynomials and a classical identity.
期刊介绍：
The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.
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