给出了一类同余方程组解数的公式或渐近公式。
This paper has investigated the system of congruences and given them the asymptotic formula of the number of solutions.
一般可以用中国剩余定理或者递推算法等方法给出一次同余方程组的解法。
The solution of system of linear congruence equations can be provided by the Chinese remainder theorem or recursive process.
利用解析方法研究了一个新的同余方程组的解数性质，并给出了一个均值公式。
Using analytic methods the properties of a new congruence equation are studied and a mean value formula is given.
丢番图方程；正整数解；同余；递归序列。
Diophantine equation; Positive integer solution; congruence; Recurrent sequence.
丢番图方程；素数；整数解；勒让德符号；同余。
Diophantine equation; prime; integer solution; Legendre symbol; congruence.
丢番图方程；素数；整数解；勒让德符号；同余。
Diophantine equation; prime; integer solution; Legendre symbol; congruence.
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