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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

3.0. "Zeta function" by HARE::STAN () Fri Jan 20 1984 20:17

From:	ROLL::USENET       "USENET Newsgroup Distributor" 17-JAN-1984 22:09
To:	HARE::STAN
Subj:	USENET net.math newsgroup articles

Newsgroups: net.math
Path: decwrl!decvax!harpo!seismo!hao!hplabs!intelca!proper!chongo
Subject: More zero's of the Riemann Zeta function
Posted: Sun Jan 15 05:24:31 1984


J. van de Lune and H. J. J. te Riele have found 300,000,001 zeros
of the zeta function.  all of the zero's were in the critical strip
and were of the form:

1/2 + sqrt(-1)*t       0<t<119,590,809.282

chongo <would you believe 300,000,002?> /\zz/\
T.RTitleUserPersonal
Name		DateLines
3.1From USENET -- does anyone have any info on this?ZFC::DERAMODaniel V. D&#039;EramoTue Dec 01 1987 12:4733
Newsgroups: sci.math
Path: decwrl!hplabs!sdcrdcf!lewis
Subject: Query regarding AMS Abstract
Posted: 26 Nov 87 02:35:28 GMT
Organization: Unisys - System Development Group, Santa Monica
 
In the August, 1987 issue of the AMS Abstracts (vol 8, number 5)
the following appears on page 324 (first abstract under the
classification "Number Theory" for the August 5-8 AMS meeting
at Salt Lake City (U. of Utah)):
 
*836-11-02      K. U. Lu, Califiornia State University, Long Beach,
Ca 90840        On the Riemann Hypothesis
		-------------------------
 
The extended Riemann Zeta function is defined and the Riemann Hypothesis
is proved.
 
(Received March 20, 1987)
 
 
 
My question is: does anyone know whether or not the talk was actually
given, or was this another case where the guy shows up in a wheelchair
and his wife apologizes and says that his paper will be published
later? (Something like that was supposed to have happened at a meeting
a few years ago.)
 
 
Ian Ferris posting from Hugh Lewis's account:
 
Hugh Lewis                [email protected]
{hplabs,ihnp4,sdcsvax,allegra,trwrb}!sdcrdcf!lewis
3.2See also note 206SQM::HALLYBKhan or bust!Tue Dec 01 1987 15:520
3.3It would have been on the news if real.ZFC::DERAMODaniel V. D&#039;EramoWed Dec 02 1987 12:4213
    Given that the abstract was in the August, 1987, issue and that
    there hasn't been front page coverage of a breakthrough since
    then, one can conclude that the author was either wrong or it was
    a hoax.  But which?  Did some very good mathematician honestly
    think that he had proven this?
    
    What is the definition of the "extended" Zeta function?
    How does it differ from zeta(s) = sum(n=1 to inf.) 1/(n^s) ?
    What precisely is the Riemann Hypothesis?  [I am unclear on
    "all zeroes" vs. "all zeroes in the critical strip" and on
    <'s vs. <='s on the boundary.]
    
    Dan
3.4I think this is due to Tom ApostolMATRIX::ROTHMay you live in interesting timesWed Dec 02 1987 18:205
	Where are the zeroes of zeta of s?
	G.F.B. Riemann has made a good guess...

    - Jim
3.5GUESS::DERAMODan D&#039;EramoFri Aug 24 1990 19:154
        Topic 1289 has a precise statement of Riemann's Zeta
        Hypothesis.
        
        Dan