DIOPHANTINE EQUATIONS CONNECTED TO THE KOMORNIK POLYNOMIALS

被引：0

作者：

Bazso, Andras ^{[1
,2
]}

Berczes, Attila ^{[3
]}

Kolouch, Ondrej ^{[4
]}

Pink, Istvan ^{[3
]}

Sustek, Ian ^{[4
]}

机构：

[1] Hungarian Acad Sci, MTA DE Res Grp Equat Funct & Curves, Inst Math, POB 400, H-4002 Debrecen, Hungary

[2] Univ Debrecen, POB 400, H-4002 Debrecen, Hungary

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

[4] Univ Ostrava, Dept Math, 30 Dubna 22, Ostrava 70103, Czech Republic

来源：

GLASNIK MATEMATICKI | 2020年 / 55卷 / 01期

关键词：

Diophantine equations; decomposition; polynomial values; VALUES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the power and polynomial values of the polynomials P-n (X) = Pi(n)(k=)(0) (X2 - 3k - X-3k - 1) for n is an element of N. We prove various ineffective and effective finiteness results. in the case 0 <= n <= 3, we determine all pairs x, y of integers such that P-n(x) = y(2) or P-n(x) = y(3).

引用

页码：13 / 27

页数：15

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