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主要研究Je■manowicz猜想的一种情形，利用初等方法证明了对任意的正整数n,丢番图方程(120n)~x+(209n)y=(24ln)z仅有正整数解(x,y,z)=(2,2,2).
Abstract：Focusing on one case of Je■manowicz's conjecture, this paper uses the elementary method to prove that for any positive integer, the Diophantine equation(120n)~x+(209n)y=(24ln)z only has a positive integer solution(x,y,z)=(2, 2, 2).
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基本信息:
DOI：
中图分类号:O156.7
引用信息:
[1]杨海,王成,赵树文.关于丢番图方程(120n)~x+(209n)~y=(24ln)~z[J].湖北师范大学学报(自然科学版),2025,45(04):1-6.
基金信息:
国家自然科学基金(11226038,11371012); 陕西省自然科学基金资助项目(2021JM443); 陕西基础科学研究院科研计划项目(23JSY042)