Congruent numbers over real number fields

@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 -