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An inequality for a pair of polynomials that are relatively prime
Published online by Cambridge University Press: 09 April 2009
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Let f(x) and g(x) be two polynomials with arbitrary complex coefficients that are relatively prime. Hence the maximum is positive for all complex x. Since m(x) is continuous and tends to infinity with |x|, the quantity E(f, g) = min m(x) is therefore also positive.
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- Copyright © Australian Mathematical Society 1964
References
1 Approximation of algebraic numbers by algebraic numbers, Michigan Math. J. 8 (1961), 149–159.
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