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Search: id:A070178
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| A070178 |
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Coefficients of Lehmer's polynomial. |
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+0
4
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| 1, 1, 0, -1, -1, -1, -1, -1, 0, 1, 1
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Mahler's measure M(f) of a polynomial f is defined to be the absolute value of the product of those roots of f which lie outside the unit disk, multiplied by the absolute value of the coefficient of the leading term of f. Of all polynomials with integer coefficients, Lehmer's 10th degree polynomial produces the smallest known M(f), given in A073011. - Hugo Pfoertner (hugo(AT)pfoertner.org), Mar 12 2006
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REFERENCES
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H. L. Montgomery, Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis, Amer. Math. Soc., 1996, p. 205.
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LINKS
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Michael Mossinghoff, Lehmer's Problem.
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EXAMPLE
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Polynomial is 1+x-x^3-x^4-x^5-x^6-x^7+x^9+x^10.
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CROSSREFS
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Cf. A073011 [Mahler's measure of Lehmer's polynomial].
Sequence in context: A040051 A108788 A103583 this_sequence A127254 A079054 A130716
Adjacent sequences: A070175 A070176 A070177 this_sequence A070179 A070180 A070181
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KEYWORD
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sign,fini,full
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 13 2002
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