On the solutions of a parametric family of cubic Thue equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

首页 | 本学科首页

官方微博 | 高级检索

On the solutions of a parametric family of cubic Thue equations

Authors:

Alain Togbé

Affiliation:

(1) Mathematics Department, Purdue University North Central, 1401 S, U.S. 421, Westville, IN 46391, USA

Abstract:

In this paper, we solve a family of Diophantine equations associated with families of number fields of degree 3. In fact, we use Baker’s method find all solutions to the Thue equation

$begin{gathered} Phi _n (x,y) = x^3 - n(n^2 + n + 3)(n^2 + 2)x^2 y - (n^3 + 2n^2 + 3n + 3)xy^2 - y^3 = pm 1, hfill for n geqslant 0 hfill end{gathered}$

. The author was supported partially by Purdue University North Central.

Keywords:

parametric Thue equations cubic equations Baker’ s method

本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏