From: M N Huxley
To: jiangchunxuan@vip.sohu.com
Cc: hlm@umich.edu
Subject: Re: Falsity of Riemann's Paper
Sent: Fri Jan 11 19:40:57 CST 2008

Dear Professor Jiang,
Thank you for your thoughts on the paper by Riemann. I
have received two copies. If you wish to publicise your own work,
you are going about it the wrong way. Certainly the polite way to tell
a mathematician that his work is wrong is to say "I cannot
understand this argument on page ...". To say that someone else's
work is actually wrong, you have to be extremely certain that your
own calculations are correct, and that you have actually read and
and understood their work.
Here are my comments on your paper.

p1. Riemann himself did not put forward the Riemann Hypothesis. It
was named after him later.

p1. "papers are too long to understand their correctness". is not a
mathematical statement. It just says something about your ability for
hard work. The longest journey begins with a single step.

p1. The series is not absolutely convergent for $sigma > 0$, only for
$sigma > 1$.

p1. "In 1998 Jiang proved.." The reference is dated 2005. If this is
not a refereed paper (I don't know the journal "Discrete Groups and
Geometries", then you should say "Jiang claimed".

p1. Theorem 1. The statement "Riemann paper is false" is not a
theorem. In any case you offer no explanation or proof of what the
statement of Theorem 1 means.

p1. If (6) is the definition of $ar zeta (s)$, then $ar zeta (s)$
seems to be what everyone else calls the Riemann zeta function. So
what are you saying?

I won't continue, but there are strange remarks on further pages. If
you have got a new method, the Jiang Function, which solves the
famous problems, then bring it into the open and write a full
explanation and send it to a Mathematics journal, Annals of Maths or
the Proceedings of the London Math. Soc. or the Duke Math. Journal
or suchlike. If it works, then most people will be happy to forget
about the Riemann Hypothesis completely and use your method
instead. If you don't explain your method, then everybody else is
entitled to be as rude about you as you are about them, or what is
even worse, to ignore you completely., which is what I myself am
likely to do, as I am sent more papers than I have time to study
anyway.
With best wishes, Martin Huxley.