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On Solutions of Higher Degree Diophantine Equation
Received:July 31, 1997
Key Words
:
exponential diophantine equations
Pell's equations
minimal solution
fundamental solution.
Fund Project
:
Author Name
Affiliation
YUAN Ping-zhi
Dept. of Math. &. Mech.
,
Changsha Railway Institute
,
Changsha 410075
,
China
LUO Jia-gui
Dept. of Math.
,
Sichuan University
,
Chengdu 610064
,
China
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:
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:
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Abstract
:
In this paper, we obtain all positive integral solution of the equation (ax
n
±c)/(ax
m
±c)=y
2
+1,c = 1,2,4with m=n(mod 2).
Citation:
DOI
:
10.3770/j.issn:1000-341X.2001.01.020
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