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Height Functions for Groups of S-units of Number Fields and Reductions Modulo Prime Ideals

Barańczuk S.

Bulletin of the Polish Academy of Sciences. Mathematics

2015

Vol. 63, no. 1

25--31

A result on the orders of the reductions of an element of the group of S-units of a number field is obtained by investigating three height functions for groups of S-units of number fields which are analogous to local, global and canonical height functions for elliptic curves.