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4 因子分解和解析数论我们再简单介绍一下解析数论,它的起源可以上溯到欧拉对无限求和以及无穷乘积的收敛性研究;每个学过微积分的人都知道,当s是大于1的实数时,级数ζ(s)=1+12s+13s+…+1ns+…=∑∞n=1n-s是收敛的,而s=1时,此级数发散
4 Factorization and Analytic Number Theory Let us briefly introduce analytical number theory. Its origin can be traced back to Euler’s study of the convergence of infinite sums and infinite products. Everyone who has studied calculus knows that when s is greater than 1 For real numbers, the series ζ(s)=1+12s+13s+...+1ns+...=∑∞n=1n-s is convergent, and when s=1, the series diverges.