Solving an indeterminate third degree equation in rational numbers. Sylvester and Lucas
Revue d'histoire des mathématiques (2002)
- Volume: 8, Issue: 1, page 67-112
- ISSN: 1262-022X
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topLavrinenko, Tatiana. "Solving an indeterminate third degree equation in rational numbers. Sylvester and Lucas." Revue d'histoire des mathématiques 8.1 (2002): 67-112. <http://eudml.org/doc/252068>.
@article{Lavrinenko2002,
abstract = {This article concerns the problem of solving diophantine equations in rational numbers. It traces the way in which the 19th century broke from the centuries-old tradition of the purely algebraic treatment of this problem. Special attention is paid to Sylvester’s work “On Certain Ternary Cubic-Form Equations” (1879–1880), in which the algebraico-geometrical approach was applied to the study of an indeterminate equation of third degree.},
author = {Lavrinenko, Tatiana},
journal = {Revue d'histoire des mathématiques},
keywords = {diophantine equations; algebraic geometry; elliptic curve; rational point; Lucas; Sylvester; story; Diophantine equations; Story},
language = {eng},
number = {1},
pages = {67-112},
publisher = {Société mathématique de France},
title = {Solving an indeterminate third degree equation in rational numbers. Sylvester and Lucas},
url = {http://eudml.org/doc/252068},
volume = {8},
year = {2002},
}
TY - JOUR
AU - Lavrinenko, Tatiana
TI - Solving an indeterminate third degree equation in rational numbers. Sylvester and Lucas
JO - Revue d'histoire des mathématiques
PY - 2002
PB - Société mathématique de France
VL - 8
IS - 1
SP - 67
EP - 112
AB - This article concerns the problem of solving diophantine equations in rational numbers. It traces the way in which the 19th century broke from the centuries-old tradition of the purely algebraic treatment of this problem. Special attention is paid to Sylvester’s work “On Certain Ternary Cubic-Form Equations” (1879–1880), in which the algebraico-geometrical approach was applied to the study of an indeterminate equation of third degree.
LA - eng
KW - diophantine equations; algebraic geometry; elliptic curve; rational point; Lucas; Sylvester; story; Diophantine equations; Story
UR - http://eudml.org/doc/252068
ER -
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