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Will John Nash retire?The Riemann Hypothesis may have been proved!
What is Riemann Hypothesis?
It seems that Xian-Jin Li’s proven is wrong…
Who is Xian-Jin Li？

在Xian Jin Li发布文章的网站：http://arxiv.org/abs/0807.0090 ，我们看到醒目的一行字：

Abstract: This paper has been withdrawn by the author due to a mistake on page 29.

恩，下面列了他的论文的几个版本，据说Version 4解决了陶哲轩的问题：

Submission history

From: Xian-Jin Li [view email]
[v1] Tue, 1 Jul 2008 19:43:13 GMT (20kb)
[v2] Wed, 2 Jul 2008 11:05:52 GMT (20kb)
[v3] Thu, 3 Jul 2008 03:44:03 GMT (20kb)
[v4] Sun, 6 Jul 2008 01:29:38 GMT (0kb,I)

可惜，在29页的错误给了Xian Jin Li致命的打击~下面我们再来回顾下Alain的问题：

I don’t like to be too negative in my comments. Li’s paper is an attempt to prove a variant of the global trace formula of my paper in Selecta.The “proof” is that of Theorem 7.3 page 29 in Li’s paper, but I stopped reading it when I saw that he is extending the test function h from ideles to adeles by 0 outside ideles and then using Fourier transform(see page 31). This cannot work and ideles form a set of measure 0inside adeles (unlike what happens when one only deals with finitely many places).

出问题的那个方程是：

We extend “h” to a function on “A” by defining h(lambda)=0 for lambda not in “J”.

Alain Connes