The integer solutions of the cubic Diophantine equation x3±33=pqy2

The solvability of a class of cubic Diophantine equations is studied by using properties of congruence, Legendre symbol and the methods of elementary number theory. The following several results are obtained: If p=3(24r+19)(24r+20)+1(r∈Z+) is odd prime, Diophantine equation x3±33=pqy2 has no positiv...

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Bibliographic Details
Published in:Xi'an Gongcheng Daxue xuebao
Main Authors: Heng LI, Hai YANG, Yongliang LUO
Format: Article
Language:Chinese
Published: Editorial Office of Journal of XPU 2021-02-01
Subjects:
diophantine equation
odd prime number
legendre symbol
integer solution
Online Access:http://journal.xpu.edu.cn/en/#/digest?ArticleID=1030

Internet

http://journal.xpu.edu.cn/en/#/digest?ArticleID=1030

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