Article
Euler's Double Equations Equivalent to Fermat's Last Theorem
Authors
Abstract
In this work we illustrate that a possible proof of Fermat's Last Theorem derives from an appropriate use of the concordant forms of Euler and from an equivalent ternary quadratic homogeneous Diophantine equation able to accommodate a solution of Fermat's equation. The impossibility of solving the second degree Diophantine equation thus obtained is certainly possible also through methods known and discovered by Fermat.
Keywords
Fermat's Last Theorem, Arithmetic algebraic geometry, Diophantine geometry.
Citation
Ossicini, A. (2020). Euler's double equations equivalent to fermat's last theorem. Journal of Analysis & Number Theory, 8(2), 11–15. https://doi.org/10.18576/jant/080101
A. Ossicini, “Euler's double equations equivalent to fermat's last theorem,” Journal of Analysis & Number Theory, vol. 8, no. 2, pp. 11–15, 2020, doi: 10.18576/jant/080101.
Ossicini A. Euler's double equations equivalent to fermat's last theorem. Journal of Analysis & Number Theory. 2020;8(2):11–15. doi:10.18576/jant/080101.
Ossicini, A. (2020), ‘Euler's double equations equivalent to fermat's last theorem’, Journal of Analysis & Number Theory, 8(2), pp. 11–15. Available at: https://doi.org/10.18576/jant/080101.
Ossicini, Andrea. “Euler's Double Equations Equivalent to Fermat's Last Theorem.” Journal of Analysis & Number Theory, vol. 8, no. 2, 2020, pp. 11–15. https://doi.org/10.18576/jant/080101.
Ossicini, Andrea. “Euler's Double Equations Equivalent to Fermat's Last Theorem.” Journal of Analysis & Number Theory 8, no. 2 (2020): 11–15. https://doi.org/10.18576/jant/080101.
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Published by: Engineering Journals
