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设p为奇素数,a,b是小于p的正整数,运用高斯函数的性质及同一法证明:a+b=p的充要条件是对于小于p的正整数n有[2an/p]+[2bn/p]为正奇数.
Suppose p is an odd prime, a and b are positive integers less than p. The properties of the Gaussian function and the same method prove that the necessary and sufficient condition for a + b = p is that [2an / p] + [2bn / p] is a positive odd number.