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MOC
2010

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On the span of polynomials with integer coefficients

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On the span of polynomials with integer coefficients

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Following a paper of R. Robinson, we classify all hyperbolic polynomials in one variable with integer coefficients and span less than 4 up to degree 13, and with some additional hypotheses, up to the degree 17. We conjecture that the classification is also complete for the degrees 14, 15, 16, and 17. Besides improving on the method used by Robinson, we develop new techniques that turn out to be of some interest. A close inspection of the polynomials thus obtained shows some properties deserving further investigations.

Stefano Capparelli, Alberto Del Fra, Carlo Sci&ogr

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Added	20 May 2011
Updated	20 May 2011
Type	Journal
Year	2010
Where	MOC
Authors	Stefano Capparelli, Alberto Del Fra, Carlo Sciò

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