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An inequality for a pair of polynomials that are relatively prime

Published online by Cambridge University Press:  09 April 2009

K. Mahler
K. Mahler
Affiliation:
Canberra, 19 February, 1964. Mathematics Department IAS, Australian National University.
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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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 4 , Issue 4 , November 1964 , pp. 418 - 420
Copyright
Copyright © Australian Mathematical Society 1964

References

1 Approximation of algebraic numbers by algebraic numbers, Michigan Math. J. 8 (1961), 149–159.