DIOPHANTINE EQUATIONS FOR POLYNOMIALS WITH RESTRICTED COEFFICIENTS, I (POWER VALUES)

被引：2

作者：

Hajdu, Lajos ^{[1
,2
]}

Varga, Nora ^{[1
,3
]}

机构：

[1] Univ Debrecen, Inst Math, POB 400, H-4002 Debrecen, Hungary

[2] Alfred Renyi Inst Math, POB 127, H-1364 Budapest, Hungary

[3] Eotvos Lorand Res Network ELKH, MTA DE Res Grp Equat Funct & Curves, Budapest, Hungary

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2022年 / 106卷 / 02期

关键词：

integers composed of fixed primes; polynomials with restricted coefficients; hyperelliptic and superelliptic Diophantine equations; the Schinzel-Tijdeman equation; ROOTS;

D O I：

10.1017/S0004972722000132

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give effective finiteness results for the power values of polynomials with coefficients composed of a fixed finite set of primes; in particular, of Littlewood polynomials.

引用

页码：254 / 263

页数：10

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