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

共 50 条

[31] Diophantine equations and Fermat's last theorem for multivariate (skew-)polynomials
Pan, Jie
Jia, Yu-ming
Li, Fang
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2024, 39 (01) : 159 - 173
[32] Quasi-polynomials, linear Diophantine equations and semi-linear sets
D'Alessandro, Flavio
Intrigila, Benedetto
Varricchio, Stefano
THEORETICAL COMPUTER SCIENCE, 2012, 416 : 1 - 16
[33] Intersective Polynomials and Diophantine Approximation
Le, Thai Hoang
Spencer, Craig V.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014, 2014 (05) : 1153 - 1173
[34] DIOPHANTINE EQUATIONS
SRINIVAS, V
CURRENT SCIENCE, 1990, 59 (12): : 589 - 594
[35] DIOPHANTINE EQUATIONS
OPPENHEIM, A
AMERICAN MATHEMATICAL MONTHLY, 1961, 68 (01): : 71 - &
[36] ON THE DIOPHANTINE EQUATIONS
Chotchaisthit, Somchit
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2014, 34 (01): : 27 - 38
[37] DIOPHANTINE EQUATIONS
KUROSAKA, RT
BYTE, 1986, 11 (03): : 343 - &
[38] DIOPHANTINE EQUATIONS
FOSTER, LL
ALEX, LJ
AMERICAN MATHEMATICAL MONTHLY, 1982, 89 (01): : 62 - 62
[39] Linear diophantine equations over polynomials and soft decoding of Reed-Solomon codes
Alekhnovich, M
FOCS 2002: 43RD ANNUAL IEEE SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE, PROCEEDINGS, 2002, : 439 - 448
[40] Linear diophantine equations over polynomials and soft decoding of Reed-Solomon codes
Alekhnovich, M
IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (07) : 2257 - 2265

← 1 2 3 4 5 →