In mathematics, the height and length of a polynomial P with complex coefficients are measures of its "size".
For a polynomial P given by
the height H(P) is defined to be the maximum of the magnitudes of its coefficients:
and the length L(P) is similarly defined as the sum of the magnitudes of the coefficients:
For a complex polynomial P of degree n, the height H(P), length L(P) and Mahler measure M(P) are related by the double inequalities
where is the binomial coefficient.
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