Algebraic points on the hyperelliptic curves y 2 = x 5 + n 2

Author:

Camara Moustapha1,Fall Moussa1,Sall Oumar1

Affiliation:

1. Mathematics and Applications Laboratory, U.F.R of Sciences and Technologie, University Assane Seck of Ziguinchor , Ziguinchor , Senegal

Abstract

Abstract We give an algebraic description of the set of algebraic points of degree at most d over ℚ on hyperelliptic curves y 2 = x 5 + n 2.

Publisher

Walter de Gruyter GmbH

Subject

Psychiatry and Mental health

Reference12 articles.

1. Carmen Anthony Bruni. Twisted Extensions of Fermat’s Last Theorem. PhD diss. The University of British Columbia (Canada), 2015. Cited on 22 and 24.

2. Faltings, Gerd. “Endlichkeitsätze für abelsch Varietäten über Zahlkörpen.” Invent. Math., 73 no. 3 (1983): 349-366. Cited on 22.

3. Moussa, Fall. “Parametrization of Algebraic Points of Low Degrees on the Schaeffer Curve.” J. Math. Sci. Model., 4 no. 2 (2021): 51-55. Cited on 21.

4. Griffiths, Phillip Augustus. Introduction to algebraic curves. Vol. 76 of Translations of mathematical monographs. Providence, RI: American Mathematical Society, 1989. Cited on 22.

5. Mulholland, J. T. Elliptic curves with rational 2-torsion and related ternary Diophantine equations. PhD diss. The University of British Columbia (Canada), 2006. Cited on 22 and 24.

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