Mathematics of Computation

Author(s): Stefano Capparelli; Alberto Del Fra; Carlo Sciò.
Journal: Math. Comp.
MSC (2000): Primary 12D10; Secondary 30C15, 11C08
Posted: September 8, 2009
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Abstract: 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 14, and with some additional hypotheses, up to degree 17. We conjecture that the classification is also complete for degrees 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.

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Retrieve articles in Mathematics of Computation with MSC (2000): 12D10, 30C15, 11C08

Stefano Capparelli
Affiliation: Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Roma ``La Sapienza'', Via Scarpa 16, I-00161 Roma, Italy
Email: capparelli@dmmm.uniroma1.it

Alberto Del Fra
Affiliation: Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Roma ``La Sapienza'', Via Scarpa 16, I-00161 Roma, Italy
Email: alberto.delfra@uniroma1.it

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