Application of Primordial Algebra to the Diophantine Equation X^3+Y^3+Z^3=k.
Abstract
The following article seeks to show the relationship between the integer matrix and the diophantine equations, specifically the three cube problem, proposing a classification system for the identification of results.
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References
[1]LÓPEZ, J. E. R., & NADAD, J. L. G. (2015). Suma sucesiva. Revista MATUA ISSN: 2389-7422, 2(2).
[2] Tarazona, E. J. A., Flores, S., & Marrero, P. F. (2021). MatrizE_ϕ^ 9. Clasificación de números enteros. Algebra primordial. Revista MATUA ISSN: 2389-7422, 8(1), 10-45.
[3] Flores, S., Acuña, E., & Marrero, P. (2021). Existencial refinament on the search of integer solutions for the diophantine equation $ x^ 3+ y^ 3+ z^ 3= n$. arXiv preprint arXiv:2103.17037.
[4] Booker, A. R. (2019). Cracking the problem with 33. Research in Number Theory, 5(3), 1-6.
[5] Paul Francisco Marrero Romero, Eduardo J. Acuña T. ABOUT THE NEGATIVE DIGITAL ROOT AND SOME OF ITS PROPERTIES RELATED TO MODULAR ARITHMETIC. 2021. ⟨hal-03387683⟩
[6] D. R. Heath-Brown, The density of zeros of forms for which weak approximation fails. Math. Comp. 59, 613–623 (1992)
[7] Booker, A. R., & Sutherland, A. V. (2021). On a question of Mordell. Proceedings of the National Academy of Sciences, 118(11).
[8] Eduardo J. Acuña T, Paul Marrero. PRIMALCONJECTURE INMATRIXE9φ. 2021. ⟨hal-03431591⟩
[2] Tarazona, E. J. A., Flores, S., & Marrero, P. F. (2021). MatrizE_ϕ^ 9. Clasificación de números enteros. Algebra primordial. Revista MATUA ISSN: 2389-7422, 8(1), 10-45.
[3] Flores, S., Acuña, E., & Marrero, P. (2021). Existencial refinament on the search of integer solutions for the diophantine equation $ x^ 3+ y^ 3+ z^ 3= n$. arXiv preprint arXiv:2103.17037.
[4] Booker, A. R. (2019). Cracking the problem with 33. Research in Number Theory, 5(3), 1-6.
[5] Paul Francisco Marrero Romero, Eduardo J. Acuña T. ABOUT THE NEGATIVE DIGITAL ROOT AND SOME OF ITS PROPERTIES RELATED TO MODULAR ARITHMETIC. 2021. ⟨hal-03387683⟩
[6] D. R. Heath-Brown, The density of zeros of forms for which weak approximation fails. Math. Comp. 59, 613–623 (1992)
[7] Booker, A. R., & Sutherland, A. V. (2021). On a question of Mordell. Proceedings of the National Academy of Sciences, 118(11).
[8] Eduardo J. Acuña T, Paul Marrero. PRIMALCONJECTURE INMATRIXE9φ. 2021. ⟨hal-03431591⟩
Published
2024-02-07
How to Cite
Acuña Tarazona, E. J. (2024). Application of Primordial Algebra to the Diophantine Equation X^3+Y^3+Z^3=k. Revista MATUA ISSN: 2389-7422, 10(1), 20-33. Retrieved from https://investigaciones.uniatlantico.edu.co/revistas/index.php/MATUA/article/view/3096
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