NONTRIVIAL SOLUTIONS TO THE FERMAT EQUATION x^3+y^3=k z^3 OVER QUADRATIC NUMBER FIELDS

We give sufficient conditions to determine the existence of nontrivial solutions to the Fermat equation over by constructing a relationship with the points on the elliptic curve over for certain .

Authors

Javier Diaz-Vargas (ORCID: https://orcid.org/0000-0001-6476-9191)
Alejandro Argáez-García (ORCID: https://orcid.org/0000-0002-8820-3368)
Elí Pech-Moreno

Publication Details

Journal: JP Journal of Algebra Number Theory and Applications
Published: 2025-05-15
DOI: https://doi.org/10.17654/0972555525018
Primary Topic: Differential Equations and Numerical Methods
Type: article
Field-Weighted Citation Impact: 0.00

Funders

Consejo Nacional de Ciencia y Tecnología

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article

NONTRIVIAL SOLUTIONS TO THE FERMAT EQUATION x^3+y^3=k z^3 OVER QUADRATIC NUMBER FIELDS

Javier Diaz-Vargas, Alejandro Argáez-García, Elí Pech-Moreno

May 15, 2025

JP Journal of Algebra Number Theory and Applications

Differential Equations and Numerical Methods

article

NONTRIVIAL SOLUTIONS TO THE FERMAT EQUATION x^3+y^3=k z^3 OVER QUADRATIC NUMBER FIELDS

Javier Diaz-Vargas, Alejandro Argáez-García, Elí Pech-Moreno

May 15, 2025article en

Abstract

We give sufficient conditions to determine the existence of nontrivial solutions to the Fermat equation over by constructing a relationship with the points on the elliptic curve over for certain .

JP Journal of Algebra Number Theory and ApplicationsVol. 64(4)

Consejo Nacional de Ciencia y Tecnología

Openalex Percentile: Top 84%

Differential Equations and Numerical Methods

DOI Open Access PDF OpenAlex

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NONTRIVIAL SOLUTIONS TO THE FERMAT EQUATION x^3+y^3=k z^3 OVER QUADRATIC NUMBER FIELDS — Javier Diaz-Vargas, Alejandro Argáez-García, et al. · JP Journal of Algebra Number Theory and Applications (2025) | TGRS Research Map | TGRS