Height Functions for Groups of S-units of Number Fields and Reductions Modulo Prime Ideals
Stefan Barańczuk
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 63 (2015), p. 25-31 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:281275
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     author = {Stefan Bara\'nczuk},
     title = {Height Functions for Groups of S-units of Number Fields and Reductions Modulo Prime Ideals},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {63},
     year = {2015},
     pages = {25-31},
     zbl = {06488954},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba63-1-4}
}
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) pp. 25-31. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba63-1-4/