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素数模高次同余式有解的判定准则
引用本文:严家森.素数模高次同余式有解的判定准则[J].西华师范大学学报(哲学社会科学版),1998,19(3):265-268.
作者姓名:严家森
作者单位:四川师范学院数学系
摘    要:给出了素数模高次同余式有解的1个判定准则,在有解时直接得出解的个数,并通过解1人上次数最低的同余式得到其所有解,最大限度地减少代入检验求解的计算量。

关 键 词:素数模  高次  同余式    等价  判定准则

A CRITERION ON THE EXISTENCE OF SOLUTIONS FOR THE HIGHER ORDER CONGRUENCES OF PRIME MODULUS
Yan Jiasen.A CRITERION ON THE EXISTENCE OF SOLUTIONS FOR THE HIGHER ORDER CONGRUENCES OF PRIME MODULUS[J].Journal of China West Normal University:Natural Science Edition,1998,19(3):265-268.
Authors:Yan Jiasen
Abstract:The author establishes a criterion on which the existence of solutions can be judged for the higher order congruences of prime modulus.It has also been proved that when the solutions exist,they can be got by determining a lowest order congruence's solutions.
Keywords:higher order congruences of prime modulus  solution  equivalence  
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