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From: paulv@boring.UUCP
Newsgroups: net.math
Subject: Re: Riemann Hypothesis
Message-ID: <6609@boring.UUCP>
Date: Sat, 31-Aug-85 18:02:57 EDT
Article-I.D.: boring.6609
Posted: Sat Aug 31 18:02:57 1985
Date-Received: Mon, 2-Sep-85 04:25:59 EDT
References: <332@faron.UUCP>
Reply-To: paulv@boring.UUCP (Paul Vitanyi)
Distribution: net
Organization: CWI, Amsterdam
Lines: 18
Apparently-To: rnews@mcvax.LOCAL

In article <332@faron.UUCP> bs@faron.UUCP (Robert D. Silverman) writes:
>The Riemann hypothesis proof by Matsumoto was withdrawn. Bombieri, Selberg,
>and others found flaws in the proof that couldn't be patched.
>
>For those of you who are not acquainted with Merten's conjecture: It was
>recently disproved by some people at Bell Labs (Odlyzko and Lagarias I
>believe). 
> 
>The truth of Merten's conjecture would have proved the Riemann Hypothesis.
> 
	Mertens' conjecture was disproved by M.A. Odlyzko of
AT&T Bell Labs and H. te Riele of the Centre for Mathematics and
Computer Science (CWI) in Amsterdam. The (dis)proof has appeared
in Mathematische Annalen (?)
	See also M.A. Odlyzko, A Disproof of the Riemann Hypothesis,
in: Dopo le Parole (Lenstra^2 & v.Emde Boas, eds), Amsterdam, 1984
for some other results.