Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleRATIONAL POINTS ON THREE SUPERELLIPTIC CURVES.AuthorsSHEN, ZHONGYAN; CAI, TIANXINAbstractIn this paper, we obtain all rational points (x,y) on the superelliptic curves \[ y^{k}=x (x+2), \]\[ y^{k}=x (x+2)(x+3), \]\[ y^{k}=x (x+1)(x+3). \]SubjectsQ-groups; RATIONAL numbers; DIFFERENTIAL geometry; CALCULUS; REAL numbersPublicationBulletin of the Australian Mathematical Society, 2012, Vol 85, Issue 1, p105ISSN0004-9727Publication typeArticleDOI10.1017/S0004972711002619