Open AccessSolutions of a class of quartic Thue inequalities
Author(s) -
Bing He,
Borka Jadrijević,
Alain Togbé
Publication year - 2009
Publication title -
glasnik matematički
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.332
H-Index - 17
eISSN - 1846-7989
pISSN - 0017-095X
DOI - 10.3336/gm.44.2.04
Subject(s) - mathematics , quartic function , class (philosophy) , inequality , pure mathematics , quartic surface , mathematical analysis , computer science , artificial intelligence
Let c be a positive integer. In this paper, we use the method of Tzanakis to transform the quartic Thue inequality |x4 - 4x3y - (2c-2)x2y2 + (4c+4)xy3 - (2c-1)y4| ≤ max{c/4, 4} into systems of Pellian equations. Then we find all primitive solutions of this inequality using continued fractions