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 (2015)

  • Volume: 63, Issue: 1, page 25-31
  • ISSN: 0239-7269

Abstract

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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.

How to cite

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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 63.1 (2015): 25-31. <http://eudml.org/doc/281275>.

@article{StefanBarańczuk2015,
abstract = {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.},
author = {Stefan Barańczuk},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {S-units; reductions; height functions; primitive divisors},
language = {eng},
number = {1},
pages = {25-31},
title = {Height Functions for Groups of S-units of Number Fields and Reductions Modulo Prime Ideals},
url = {http://eudml.org/doc/281275},
volume = {63},
year = {2015},
}

TY - JOUR
AU - Stefan Barańczuk
TI - Height Functions for Groups of S-units of Number Fields and Reductions Modulo Prime Ideals
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2015
VL - 63
IS - 1
SP - 25
EP - 31
AB - 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.
LA - eng
KW - S-units; reductions; height functions; primitive divisors
UR - http://eudml.org/doc/281275
ER -

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