Solving Thue equations without the full unit group

Abstract. The main problem when solving a Thue equation is the computation of the unit group of a certain number field. In this paper we show that the knowledge of a subgroup of finite index is actually sufficient. Two examples linked with the primitive divisor problem for Lucas and Lehmer sequences are given.

• Type: Journal
• Year: 2000
• Where: MOC
• Authors: Guillaume Hanrot
• Keywords: Certain Number Field, MOC 2000, Primitive Divisor Problem, Thue Equation