Solving Thue equations without the full unit group

نویسنده

  • Guillaume Hanrot
چکیده

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.

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عنوان ژورنال:
  • Math. Comput.

دوره 69  شماره 

صفحات  -

تاریخ انتشار 2000