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Mahler's Measure of a Polynomial in Function of the Number of its Coefficients

Published online by Cambridge University Press:  20 November 2018

Edward Dobrowolski
Edward Dobrowolski*
Affiliation:
Department of Mathematics and Statistics Carleton University Ottawa, K1V5E6
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Abstract

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Mahler's measure of a monic polynomial is equal to the product of modules of its roots which lie outside the unit circle. By classical theorem of Kronecker it is strictly greater than 1 for any polynomial that is not a product of cyclotomic factors. In this case a number of lower bounds of the measure, depending either on the degree of the polynomial or on the number of its non-zero coefficients, has been found. Here is given an improvement of the bound of the latter type previously found by the author, A. Schinzel and W. Lawton.

Keywords

11R0411R0911C08.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 2 , 01 June 1991 , pp. 186 - 195
Copyright
Copyright © Canadian Mathematical Society 1991

References

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