On the number of terms of a power of a polynomial

被引：0

作者：

Schinzel, Andrzej ^{[1
]}

Zannier, Umberto ^{[2
]}

机构：

[1] Math Inst PAN, PL-00956 Warsaw, Poland

[2] Scuola Normale Super Pisa, I-56126 Pisa, Italy

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2009年 / 20卷 / 01期

关键词：

Algebra of Polynomials;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f(x) be a polynomial with complex coefficients. Renyi and independently Erdos in 1949 conjectured that a bound for the number of terms of f(x)(2) implies a bound for the number of terms of f(x). In 1987 Schinzel found a proof of this conjecture, actually for all powers f(x)(1), and he gave some explicit bounds. The aim of this paper is to improve such inequalities in a substantial way.

引用

页码：95 / 98

页数：4

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