Dear Martin Huxley：

This is a classical way:

zeta equation--->Mellin transform--->theta equation--->heat equation--->harmonic equation

Yours sincerely, Xian-Shun Luo

Dec.13,2008

> To: chiaoluo@hotmail.com
> Subject: Re: A simple proof of Riemann Hypothesis
> From: Huxley@cardiff.ac.uk
> Date: Fri, 12 Dec 2008 16:44:13 +0000
> 
> Dear Luo Xianshun,
> Thank you for your preprint. The bit that I do not follow is where 
> you say that `the famous Riemann Hypothesis is equivalent to this 
> equation:
> $$
> -\Delta \theta \left( \exp (in\theta )\right) = n^2.
> \eqno(1)
> $$
> 
> Yours sincerely, Martin Huxley. 

> Date: Sat, 13 Dec 2008 14:17:09 -0800
> From: sli@math.uci.edu
> To: chiaoluo@hotmail.com
> Subject: Re: help me
> 
> Please don't e-mails to anyone for your own sake.
> 
> $n^2$ can be viewed as eigenvalues of Laplacian on the unit circle, so
> Riemann zeta function
> can be viewed as the Zeta function make up from the eigenvalues of
> Laplacian. This means only
> that people use the eigenvalues of Laplacian to make up Zeta function
> makes sense. It does not
> mean anything about Riemann Hypothesis. If you know what is Riemann
> hypothesis and can prove
> it, let people around you to read your proof first instead of sending
> e-mails to many people.
> 
> Song-Ying Li
> 
> 2008/12/12 luochiao <chiaoluo@hotmail.com>:
> > Dear Martin Huxley：
> >
> > This is a classical way:
> >
> > zeta equation--->Mellin transform--->theta equation--->heat
> > equation--->harmonic equation
> >
> >
> > Yours sincerely, Xian-Shun Luo
> >
> > Dec.13,2008
> >
> >
> >
> >
> >
> >> To: chiaoluo@hotmail.com
> >> Subject: Re: A simple proof of Riemann Hypothesis
> >> From: Huxley@cardiff.ac.uk
> >> Date: Fri, 12 Dec 2008 16:44:13 +0000
> >>
> >> Dear Luo Xianshun,
> >> Thank you for your preprint. The bit that I do not follow is where
> >> you say that `the famous Riemann Hypothesis is equivalent to this
> >> equation:
> >> $$
> >> -\Delta \theta \left( \exp (in\theta )\right) = n^2.
> >> \eqno(1)
> >> $$
> >>
> >> Yours sincerely, Martin Huxley.
> >
> >
> >> Date: Fri, 12 Dec 2008 16:04:05 -0800
> >> From: sli@math.uci.edu
> >> To: chiaoluo@hotmail.com
> >> Subject: Re: help me
> >>
> >> I read what you wrote.! You did not understand what is Riemann
> >> Hypotheses. How can you
> >> prove it? Stop doing what are you doing, it does not make any sense.
> >>
> >> Regards,
> >>
> >> Song-Ying Li
> >>
> >> 2008/12/12 luochiao <chiaoluo@hotmail.com>:
> >> >
> >> > 我是在2006年福建师范大学举办的国际复分析和复几何学术研讨会期间，从你的课程"Analysis and Geometry on
> >> > Pseudoconvex Domain"上学到Riemann Hypothesis的这个等价命题的，也就是等式（1）。
> >> > 我目前手头只有您当时讲课的记录。您能帮助我得到相关的可以引证的文献吗？我原先以为这是很多人都知道的。
> >> > 我恳求您的帮助！
> >> >
> >> > 致礼！
> >> >
> >> > 罗仙顺
> >> >
> >> > 2008,12.12
> >> >
> >> > ________________________________
> >>
> >>
> >>
> >> --
> >> Song-Ying Li
> >> Professor
> >> Department of Mathematics
> >> University ! of California,
> >> Irvine, CA 92697-3875
> >> Phone: 949-824-32 18
> >> Fax: 949-824-7993