摘要
运用同余式、平方剩余和勒让德符号的性质等得出了不定方程x3±53=3Dy2无正整数解的2个充分条件,从而推进了该类不定方程的研究.
Congruence, quadratic residue and some properties of Legendre were used to obtain two sufficient conditions of the indefinite equation x^3±53=3Dy^2 which have no integer solutions, which promote the research of this kind of indefinite equation.
出处
《海南大学学报（自然科学版）》
CAS
2013年第4期292-294,共3页
Natural Science Journal of Hainan University
基金
云南省教育厅科研基金资助项目(2012C199)
关键词
不定方程
奇素数
同余
平方剩余
正整数解
indefinite equation
odd prime
congruence
quadratic residue
positive integer solution
