Riemann-Zeta/一些误解/级数

顶一个！

analytic continuation:解析延拓
meromorphic function: 亚纯函数


其实有些是cesaro意义下的求和，标准分析(classical analysis)下是不收敛的
可以讲一下怎么将原本定义在Re s > 1的函数拓到全空间
gamma和zeta的函数方程，介绍下黎曼猜想算了，它对素数估计影响等等，或者利用riemann-zeta函数证明素数定理？

There had been a time that I wanted to post the evaluation of zeta function at even integers, however people here seems to be apathetic about something out of their syllabus

@pisco125

awesome, nice work!
"If A = Success, then the formula is
A = x+y+z with x=work, y=play, z=keeping your mouth shut."
-- Albert Einstein

仔细看了看 发现一些些小小错误! 现在都改了

听酸葡萄说，这是因为有学物理的涌入本吧所致

所有不说收敛含义的无穷级数都是耍流氓
普通意义下的收敛当然不对
可是这个世界是那样的丰富多彩