A family of quintic Thue equations via Skolem's p-adic method

被引：0
|
作者：
Lombardo, Davide [1 ]
机构：
[1] Univ Pisa, Dipartimento Matemat, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy
来源：
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA | 2022年 / 13卷 / 01期
关键词：
Skolem's method; p-adic methods; Thue equations; Diophantine equations; BINARY CUBIC FORMS; QUARTIC THUE; NUMBERS; SERIES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We solve the diophantine equation m(5) + (4 .5(4)b(4)) mn(4)-n(5) = 1 for all integers b not equal 0. This gives an example of a family of quintic Thue equations that can be solved completely by using nothing more than Skolem's p-adic method. We also give a general introduction to Skolem's method from a modern perspective.
引用
收藏
页码：161 / 173
页数：13
相关论文
共 50 条
12345