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1 results

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

  • Edward Dobrowolski
  • Journal:
    Canadian Mathematical Bulletin / Volume 34 / Issue 2 / 01 June 1991
    Published online by Cambridge University Press:
    20 November 2018, pp. 186-195
    Print publication:
    01 June 1991
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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.