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).
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页码：13 / 27
页数：15
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