Open AccessAlgebraic Points of Degree at Most 5 on the Affine Curve y\(^{2}\) = x\(^{5}\) - 243
Author(s) -
EL Hadji SOW,
Pape Modou Sarr,
Oumar Sall
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i1030336
Subject(s) - degree (music) , mathematics , algebraic curve , set (abstract data type) , affine transformation , algebraic number , combinatorics , discrete mathematics , pure mathematics , mathematical analysis , physics , computer science , acoustics , programming language
In this work, we determine the set of algebraic points of degree at most 5 on the ane curve y2 = x5 - 243. This result extends a result of J.TH Mulholland who described in [4] the set of \(\mathbb{Q}\)- rational points i.e the set of points of degree one over \(\mathbb{Q}\) on this curve.