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On the Diophantine equation.

Authors :
Zhang, Zhongfeng
Source :
International Journal of Number Theory. Oct2017, Vol. 13 Issue 9, p2229-2243. 15p.
Publication Year :
2017

Abstract

In this paper, we study the Diophantine equation , and based on Frey-Hellegouarch curves and their corresponding Galois representations, we solve the equation for various choices of . [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*DIOPHANTINE geometry
*DIOPHANTINE equations
*DIOPHANTINE approximation
*DIOPHANTINE analysis
*GALOIS theory
*GALOIS cohomology

Details

Language :
English
ISSN :
17930421
Volume :
13
Issue :
9
Database :
Academic Search Index
Journal :
International Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
125243269
Full Text :
https://doi.org/10.1142/S1793042117501214
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