Geodesic
Height Functions for Groups of $S$-units of Number Fields and Reductions Modulo Prime Ideals
Stefan Barańczuk1
1 Faculty of Mathematics and Computer Science Adam Mickiewicz University 61-614 Poznań, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 63 (2015) no. 1, pp. 25-31.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ba63-1-4
Keywords: result orders reductions element group s units number field obtained investigating three height functions groups s units number fields which analogous local global canonical height functions elliptic curves

Stefan Barańczuk 1

1 Faculty of Mathematics and Computer Science Adam Mickiewicz University 61-614 Poznań, Poland 
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Stefan Barańczuk. Height Functions for Groups of $S$-units of Number Fields and Reductions Modulo Prime Ideals. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 63 (2015) no. 1, pp. 25-31. doi : 10.4064/ba63-1-4. http://geodesic.mathdoc.fr/articles/10.4064/ba63-1-4/

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