ON THE SPAN OF POLYNOMIALS WITH INTEGER COEFFICIENTS

被引：9

作者：

Capparelli, Stefano ^{[1
]}

Del Fra, Alberto ^{[1
]}

Scio, Carlo ^{[2
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Metodi & Modelli Matemat Sci Applica, I-00161 Rome, Italy

[2] ENEA, FIM, I-00044 Frascati, RM, Italy

来源：

MATHEMATICS OF COMPUTATION | 2010年 / 79卷 / 270期

关键词：

ALGEBRAIC EQUATIONS;

D O I：

10.1090/S0025-5718-09-02292-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：967 / 981

页数：15

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