最全链接帖 一定得进来看

实在没办法呀

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·······

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好的

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image
不会错过了

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oi.wiki

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额,6

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\log\prod(N)=(N+2)\log N-N+A-\int_{N}^{\infty}\frac{\overline{B}_{1}(x)dx}{x},A=1+\int_{1}^{\infty}\frac{\overline{B}_{1}(x)dx}{x}\
\log\prod(s)=(s+\frac{1}{2})\log s-s+A-\int_{\infty}^{0}\frac{\overline{B}_{1}(t)dt}{t+s}\
\log\prod(s)=\lim_{n \to \infty}[s\log (N+1)\sum_{N}^{n=1}\log n-\sum_{N}^{n=1}\log (s+n)]
=\lim_{n \to \infty}[s\log (N+1)+\int_{1}^{N}\log xdx-\frac{1}{2}\log N+\int_{1}^{N}\frac{\overline{B}_{1}dx}{x}
-\int_{1}^{N}\log(s+x)dx-\frac{1}{2}[\log (s+1)+\log (s+N)]
-\int_{1}^{N}\frac{\overline{B}_{1}(x)dx}{s+x}]
=\lim_{n \to \infty}[s\log (N+1)+N \log N-N+1+\frac{1}{2}\log N+\int_{1}^{N}\frac{\overline{B}_{1}(x)dx}{x}
-(s+N)\log (s+N)+(s+N)+(s+1)\log(s+1)
-(s+1)-\frac{1}{2}\log (s+1)-\log (s+N)-\int_{1}^{N}\frac{\overline{B}_{1}(x)dx}{s+x}]
=(s+\frac{1}{2})\log (s+1)+\int_{1}^{\infty}\frac{\overline{B}_{1}(x)dx}{x}-\int_{1}^{N}\frac{\overline{B}_{1}(x)dx}{s+x}
+\lim_{n \to \infty}[s\log (N+1)+(N\frac{1}{2})\log N
-(s+N+\frac{1}{2})\log (s+N)]
=(s+\frac{1}{2})\log (s+1)+(A-1)-\int_{1}^{\infty}\frac{\overline{B}_{1}(x)dx}{s+x}
+\lim[s\log\frac{N+1}{2}-(N+\frac{1}{2})\log(1+\frac{s}{2})]

终于写完力(喜

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哈哈哈,可以啊!

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你这加入日期属于论坛的元老级人物了

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image

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膜拜大佬

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:no_mouth: :no_mouth: :no_mouth:

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加一张oi-wiki的图片

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可以再加一个网站

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image

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好看

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image
我也是

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