A remark on certain simultaneous divisibility sequences

Stefan Barańczuk; Piotr Rzonsowski

Colloquium Mathematicae (2014)

  • Volume: 137, Issue: 2, page 209-213
  • ISSN: 0010-1354

Abstract

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We investigate possible orders of reductions of a point in the Mordell-Weil groups of certain abelian varieties and in direct products of the multiplicative group of a number field. We express the result obtained in terms of divisibility sequences.

How to cite

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Stefan Barańczuk, and Piotr Rzonsowski. "A remark on certain simultaneous divisibility sequences." Colloquium Mathematicae 137.2 (2014): 209-213. <http://eudml.org/doc/283865>.

@article{StefanBarańczuk2014,
abstract = {We investigate possible orders of reductions of a point in the Mordell-Weil groups of certain abelian varieties and in direct products of the multiplicative group of a number field. We express the result obtained in terms of divisibility sequences.},
author = {Stefan Barańczuk, Piotr Rzonsowski},
journal = {Colloquium Mathematicae},
keywords = {elliptic curves; reductions; divisibility sequences},
language = {eng},
number = {2},
pages = {209-213},
title = {A remark on certain simultaneous divisibility sequences},
url = {http://eudml.org/doc/283865},
volume = {137},
year = {2014},
}

TY - JOUR
AU - Stefan Barańczuk
AU - Piotr Rzonsowski
TI - A remark on certain simultaneous divisibility sequences
JO - Colloquium Mathematicae
PY - 2014
VL - 137
IS - 2
SP - 209
EP - 213
AB - We investigate possible orders of reductions of a point in the Mordell-Weil groups of certain abelian varieties and in direct products of the multiplicative group of a number field. We express the result obtained in terms of divisibility sequences.
LA - eng
KW - elliptic curves; reductions; divisibility sequences
UR - http://eudml.org/doc/283865
ER -

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