Search: id:A070178
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%I A070178
%S A070178 1,1,0,1,1,1,1,1,0,1,1
%V A070178 1,1,0,-1,-1,-1,-1,-1,0,1,1
%N A070178 Coefficients of Lehmer's polynomial.
%C A070178 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
%D A070178 H. L. Montgomery, Ten Lectures on the Interface Between Analytic Number 
               Theory and Harmonic Analysis, Amer. Math. Soc., 1996, p. 205.
%H A070178 Michael Mossinghoff, <a href="http://oldweb.cecm.sfu.ca/~mjm/Lehmer/">
               Lehmer's Problem.</a>
%e A070178 Polynomial is 1+x-x^3-x^4-x^5-x^6-x^7+x^9+x^10.
%Y A070178 Cf. A073011 [Mahler's measure of Lehmer's polynomial].
%Y A070178 Sequence in context: A040051 A108788 A103583 this_sequence A127254 A079054 
               A130716
%Y A070178 Adjacent sequences: A070175 A070176 A070177 this_sequence A070179 A070180 
               A070181
%K A070178 sign,fini,full
%O A070178 0,1
%A A070178 N. J. A. Sloane (njas(AT)research.att.com), May 13 2002

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