Solutions to xyz = 1 and x + y + z = k in algebraic integers of small degree, II

H. G. Grundman, and L. L. Hall-Seelig. "Solutions to xyz = 1 and x + y + z = k in algebraic integers of small degree, II." Acta Arithmetica 171.3 (2015): 257-276. <http://eudml.org/doc/279274>.

@article{H2015,
abstract = {Let k ∈ ℤ be such that $|_k(ℚ)|$ is finite, where $_k: y² = 1 - 2kx + k²x² - 4x³$. We complete the determination of all solutions to xyz = 1 and x + y + z = k in integers of number fields of degree at most four over ℚ.},
author = {H. G. Grundman, L. L. Hall-Seelig},
journal = {Acta Arithmetica},
keywords = {Diophantine equations; elliptic curves},
language = {eng},
number = {3},
pages = {257-276},
title = {Solutions to xyz = 1 and x + y + z = k in algebraic integers of small degree, II},
url = {http://eudml.org/doc/279274},
volume = {171},
year = {2015},
}

TY - JOUR
AU - H. G. Grundman
AU - L. L. Hall-Seelig
TI - Solutions to xyz = 1 and x + y + z = k in algebraic integers of small degree, II
JO - Acta Arithmetica
PY - 2015
VL - 171
IS - 3
SP - 257
EP - 276
AB - Let k ∈ ℤ be such that $|_k(ℚ)|$ is finite, where $_k: y² = 1 - 2kx + k²x² - 4x³$. We complete the determination of all solutions to xyz = 1 and x + y + z = k in integers of number fields of degree at most four over ℚ.
LA - eng
KW - Diophantine equations; elliptic curves
UR - http://eudml.org/doc/279274
ER -