Factorization of Sums of Polynomials |
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Authors: | Seon-Hong Kim |
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Institution: | (1) School of Mathematical Sciences, Seoul National University, Seoul, 151-742, Korea |
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Abstract: | Let A and B be monic polynomials of the same degree. Given some (or all) information about the individual polynomials A and B, in particular about their factorizations, what can be said about the factorization of their sum C=A+B? We survey results of Fell, Mason and others, and expand upon them. The famous ‘abc conjecture’ of number theory is one obvious motivation for this investigation. |
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Keywords: | abc conjecture facorization polynomial sum zeros of polynomial |
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