关于不定方程x2+36=y17的整数解  

The Integer Solution of the Indefinite Equations x2+36=y17

作　　者：于宁宁 Yu Ning-ning(College of Mathematics and Statistics,North China University ofWater Resources and Electric Power,Zhengzhou 450046,China)

机构地区：[1]华北水利水电大学数学与统计学院

出　　处：《洛阳师范学院学报》2019年第5期19-21,共3页Journal of Luoyang Normal University

摘　　要：在高斯整环中,利用代数数论与同余理论的方法,讨论了不定方程x^2+36=y^17的整数解问题,并证明了不定方程x^2+36=y^17无整数解.In the Gauss integral rings, the problem of integer solution of the indefinite equation x^2+36=y^17 is discussed using the methods of algebraic number theory and congruence theory, and it is proved that there is no integer solution of the indefinite equation x^2+36=y^17.

关 键 词：高斯整环 代数数论 同余理论 不定方程 整数解 

分 类 号：O156.4[理学—数学]