Indecomposability of polynomials and related diophantine equations

被引：11

作者：

Dujella, Andrej

Gusic, Ivica

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

[2] Univ Zagreb, Fac Chem Engn & Technol, Zagreb 10000, Croatia

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2006年 / 57卷

关键词：

D O I：

10.1093/qmath/hai007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a new criterion for indecomposability of polynomials over Z. Using the criterion, we obtain general finiteness result on the polynomial Diophantine equation f (x) = g(y).

引用

页码：193 / 201

页数：9

共 50 条

[21] Diophantine equations related to quasicrystals: A note
E. Pelantová
A. M. Perelomov
Theoretical and Mathematical Physics, 1998, 115 : 737 - 738
[22] Diophantine equations related to quasicrystals: A note
Pelantova, E
Perelomov, AM
THEORETICAL AND MATHEMATICAL PHYSICS, 1998, 115 (03) : 737 - 739
[23] On decompositions of quadrinomials and related Diophantine equations
Gawron, Maciej
ACTA ARITHMETICA, 2017, 179 (01) : 1 - 15
[24] Diophantine equations between polynomials obeying second order recurrences
Peter Kirschenhofer
Oliver Pfeiffer
Periodica Mathematica Hungarica, 2003, 47 (1-2) : 119 - 134
[25] Polynomials Satisfying Functional and Differential Equations and Diophantine Properties of Their Zeros
Calogero, Francesco
Yi, Ge
LETTERS IN MATHEMATICAL PHYSICS, 2013, 103 (06) : 629 - 651
[26] Indecomposability of polynomials via Jacobian matrix
Cheze, G.
Najib, S.
JOURNAL OF ALGEBRA, 2010, 324 (01) : 1 - 11
[27] Polynomials Satisfying Functional and Differential Equations and Diophantine Properties of Their Zeros
Francesco Calogero
Ge Yi
Letters in Mathematical Physics, 2013, 103 : 629 - 651
[28] Max-min of polynomials and exponential diophantine equations (II)
Tung, Shih Ping
JOURNAL OF NUMBER THEORY, 2015, 157 : 397 - 423
[29] DIOPHANTINE EQUATIONS FOR POLYNOMIALS WITH RESTRICTED COEFFICIENTS, I (POWER VALUES)
Hajdu, Lajos
Varga, Nora
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2022, 106 (02) : 254 - 263
[30] Diophantine equations for second-order recursive sequences of polynomials
Dujella, A
Tichy, RF
QUARTERLY JOURNAL OF MATHEMATICS, 2001, 52 : 161 - 169

← 1 2 3 4 5 →