Congruent numbers over real number fields
Colloquium Mathematicae (2012)
- Volume: 128, Issue: 2, page 179-186
- ISSN: 0010-1354
Access Full Article
top
Abstract
topHow to cite
topTomasz Jędrzejak. "Congruent numbers over real number fields." Colloquium Mathematicae 128.2 (2012): 179-186. <http://eudml.org/doc/284100>.
@article{TomaszJędrzejak2012,
abstract = {It is classical that a natural number n is congruent iff the rank of ℚ -points on Eₙ: y² = x³-n²x is positive. In this paper, following Tada (2001), we consider generalised congruent numbers. We extend the above classical criterion to several infinite families of real number fields.},
author = {Tomasz Jędrzejak},
journal = {Colloquium Mathematicae},
keywords = {congruent numbers; elliptic curves; number fields},
language = {eng},
number = {2},
pages = {179-186},
title = {Congruent numbers over real number fields},
url = {http://eudml.org/doc/284100},
volume = {128},
year = {2012},
}
TY - JOUR
AU - Tomasz Jędrzejak
TI - Congruent numbers over real number fields
JO - Colloquium Mathematicae
PY - 2012
VL - 128
IS - 2
SP - 179
EP - 186
AB - It is classical that a natural number n is congruent iff the rank of ℚ -points on Eₙ: y² = x³-n²x is positive. In this paper, following Tada (2001), we consider generalised congruent numbers. We extend the above classical criterion to several infinite families of real number fields.
LA - eng
KW - congruent numbers; elliptic curves; number fields
UR - http://eudml.org/doc/284100
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.