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

页码：161 / 173

页数：13

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