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Algebraic points on the hyperelliptic curves y2 = x5 + n2 Cover
Open Access
|May 2023

References

  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.
  6. Hindry, Marc, and Joseph Hillel Silverman. Diophantine geometry, an introduction. Vol. 201 of Graduade Texts in Mathematics. New York: Springer-Verlag, 2000. Cited on 24.
  7. Sall, Oumar, and Moussa Fall, and Chérif Mamina Coly. “Points algbriques de degré donné sur la courbe d’équation affine y2 = x5 + 1.” International Journal of Development Research 6 no. 11 (2016): 10295-10300. Cited on 21.
  8. Schaefer, Edward Frank. “Computing a Selmer group of a Jacobian using functions on the curve.” Math. Ann. 310, no. 3 (1998): 447-471. Cited on 21.
  9. Stoll, Michael. “On the arithmetic of the curves y2 = xl + A; and their Jacobians.” J. Reine Angew. Math. 501 (1998): 171-189. Cited on 21.
  10. Stoll, Michael. “On the arithmetic of the curves y2 = xl + A. II.” J. Number Theory 93, no. 2 (2002): 183-206. Cited on 21.
  11. Stoll, Michael, and Tonghai Yang. “On the L-function of the curves y2 = x5 + A.” J. London Math. Soc. (2) 68, no. 2 (2003): 273-287. Cited on 21.
  12. Stoll, Michael. “Implementing 2-descent for Jacobians of hyperelliptic curves.” Acta Arith. 98, no. 3 (2001): 245-277. Cited on 24.
DOI: https://doi.org/10.2478/aupcsm-2023-0003 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X
Language: English
Page range: 21 - 31
Submitted on: Feb 14, 2022
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Accepted on: Mar 17, 2023
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Published on: May 11, 2023
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2023 Moustapha Camara, Moussa Fall, Oumar Sall, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.