Diophantine equations without natural numbers, X=Z-n^(kn-1)R^n

If an ordered pair(X,Y,Z) is satisfy the form (X,Y,Z)=(Z-n^(nk-1)R^n, Y, Z), this ordered pair cannot satisfy the X^n+Y^n=Z^n

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-04-20
DOI
https://doi.org/10.5281/zenodo.15250439
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Diophantine equations without natural numbers, X=Z-n^(kn-1)R^n

Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
article

Diophantine equations without natural numbers, X=Z-n^(kn-1)R^n

article en

Abstract

If an ordered pair(X,Y,Z) is satisfy the form (X,Y,Z)=(Z-n^(nk-1)R^n, Y, Z), this ordered pair cannot satisfy the X^n+Y^n=Z^n

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 51%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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Diophantine equations without natural numbers, X=Z-n^(kn-1)R^n · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS