On Explicit Bounds for the Solutions of a Class of Parametrized Thue Equations of Arbitrary Degree

Clemens Heuberger

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On Explicit Bounds for the Solutions of a Class of Parametrized Thue Equations of Arbitrary Degree

机译：一类任意度参数化Thue方程解的显式界

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摘要

In a recent paper [7] the author considered the family of parametrized Thue equations

机译：在最近的一篇论文中[7]，作者考虑了参数化的Thue方程族

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来源
《Monatshefte für Mathematik》 |2001年第4期|325-339|共15页
作者
Clemens Heuberger;
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作者单位

Technische Universität Graz Austria;

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正文语种 eng
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2000 Mathematics Subject Classification: 11D57; 11D41; Key words: Thue equations; Diophantine equation; linear forms in logarithms;

机译：2000年数学学科分类：11D57;11D41;关键字：Thue方程;Diophantine方程;对数线性形式;

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专利

1. Automatic solution of families of Thue equations and an example of degree 8 [J] . Clemens Heuberger, Alain Togbe, Volker Ziegler Journal of symbolic computation . 2004,第3期

机译：Thue方程族的自动解和度8的示例
2. UPPER BOUNDS FOR THE NUMBER OF SOLUTIONS TO QUARTIC THUE EQUATIONS [J] . SHABNAM AKHTARI International Journal of Number Theory . 2012,第2期

机译：二次通量方程解的上界
3. Existence of bounds for dark solitons in a class of nonlinear Schr?dinger equations: Explicit upper and lower bounds [J] . Belmonte-Beitia J. Mathematical Methods in the Applied Sciences . 2013,第8期

机译：一类非线性Schr？dinger方程中暗孤子的界的存在：明确的上下界
4. Explicit solution of the Landau-Lifshitz equation in the case of arbitrary genus of covering [C] . Dmitrieva I.Yu. International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves . 2013

机译：覆盖任意族的情况下Landau-Lifshitz方程的显式解
5. Bounding the number of solutions to tetranomial Thue equations . [D] . Wisniewski, Daniel P. 2010

机译：四次Thue方程解的有界性。
6. On Classes of Diophantine Equations of Higher Degrees Which Have No Solutions [O] . H. S. Vandiver 1946

机译：无解的高次丢番图方程类
7. On Explicit Bounds For The Solutions Of A Class Of Parametrized Thue Equations Of Arbitrary Degree [O] . Clemens Heuberger 2007

机译：一类任意度参数化Thue方程解的显式界
8. Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods [R] . Prudhomme, C., Rovas, D. V., Veroy, K., 2002

机译：参数化偏微分方程的可靠实时解：降基输出约束方法

On Explicit Bounds for the Solutions of a Class of Parametrized Thue Equations of Arbitrary Degree

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