The Diophantine Equation X³ = u+v over Real Quadratic Fields

Takaaki Kagawa. "The Diophantine Equation X³ = u+v over Real Quadratic Fields." Bulletin of the Polish Academy of Sciences. Mathematics 59.1 (2011): 1-9. <http://eudml.org/doc/281205>.

@article{TakaakiKagawa2011,
abstract = {Let k be a real quadratic field and let $_k$ and $_k^×$ be the ring of integers and the group of units, respectively. A method of solving the Diophantine equation X³ = u+v ($X ∈ _k$, $u,v ∈ _k^×$) is developed.},
author = {Takaaki Kagawa},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {real quadratic field; Diophantine equation; elliptic curves; good reduction},
language = {eng},
number = {1},
pages = {1-9},
title = {The Diophantine Equation X³ = u+v over Real Quadratic Fields},
url = {http://eudml.org/doc/281205},
volume = {59},
year = {2011},
}

TY - JOUR
AU - Takaaki Kagawa
TI - The Diophantine Equation X³ = u+v over Real Quadratic Fields
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2011
VL - 59
IS - 1
SP - 1
EP - 9
AB - Let k be a real quadratic field and let $_k$ and $_k^×$ be the ring of integers and the group of units, respectively. A method of solving the Diophantine equation X³ = u+v ($X ∈ _k$, $u,v ∈ _k^×$) is developed.
LA - eng
KW - real quadratic field; Diophantine equation; elliptic curves; good reduction
UR - http://eudml.org/doc/281205
ER -