20090628, 04:52  #1 
Dec 2008
1101000001_{2} Posts 
R.H. May be False? wtf

20090628, 05:18  #2 
Aug 2002
Ann Arbor, MI
433_{10} Posts 
Contact information is a Yahoo email address...classy.

20090628, 05:20  #3 
Dec 2008
7^{2}×17 Posts 

20090628, 06:05  #4 
Dec 2008
7^{2}·17 Posts 
Disproof of the Mertens Conjecture
Here is the OdlyzkoRiele disproof of the Mertens conjecture:
http://www.dtc.umn.edu/~odlyzko/doc/...s.disproof.pdf Hmm...not typeset in TeX (or any of its variants), so then what is this paper typeset in? 
20090628, 06:07  #5 
Aug 2006
5,987 Posts 

20090628, 11:23  #6  
Jan 2008
France
2×3^{3}×11 Posts 
Quote:


20090629, 15:25  #7  
"Lucan"
Dec 2006
England
2×3×13×83 Posts 
Quote:
If he had said the four color conjecture may be false I would have to disagree with him/her. Last fiddled with by davieddy on 20090629 at 15:30 

20090629, 16:03  #8 
Dec 2008
7^{2}·17 Posts 
Neither could I. The mathematics seemed solid, but to me the claim was rather astonishing. Would this qualify for the Clay prize?
Last fiddled with by flouran on 20090629 at 16:03 
20090629, 16:44  #9  
Dec 2008
7^{2}·17 Posts 
Background Check ;)
Quote:
http://arxiv.org/find/all/1/all:+AND.../0/1/0/all/0/1 A more concise background check reveals that he has a Ph.D. from the University of Florida: http://genealogy.math.ndsu.nodak.edu/id.php?id=8823 Last fiddled with by flouran on 20090629 at 16:46 

20090630, 21:47  #10 
"Phil"
Sep 2002
Tracktown, U.S.A.
2^{5}×5×7 Posts 
(The spelling discussion has been moved to the soapbox.)
If I interpret the paper correctly, it also asserts that there are zeros arbitrarily close to the boundaries of the critical region . Because there are no zeros on these boundaries, this in turn would imply that the Riemann zeta function has an infinite number of zeros, although none have ever been found. Flouran, my interpretation of the Clay prize rules: http://www.claymath.org/millennium/Rules_etc/ is that a counterexample, or proof of falsity, could potentially qualify for the prize, but not necessarily. In this case, I suspect that it would qualify for the full prize. However, I am not holding my breath, since last August, the author apparently published a purported proof of the Riemann hypothesis, commented upon here: http://staff.science.uva.nl/~thk/art...ingComment.pdf. To the author's credit, the claim in both cases is of an "apparent" proof or disproof, awaiting detailed analysis before making the claim more definite. 
20090706, 15:39  #11 
May 2004
New York City
108B_{16} Posts 
[quote=philmoore]If I interpret the paper correctly, it also asserts that there are zeros arbitrarily close to the boundaries of the critical region . Because there are no zeros on these boundaries, this in turn would imply that the Riemann zeta function has an infinite number of zeros, although none have ever been found.
QUOTE] "A counterexample, or proof of falsity, could potentially qualify." Proof of the Riemann hypothesis: "apparent" proof or disproof, awaiting detailed analysis. The RH is intimately related to the issues in the mersenneforum. When we discover Mersennes, and do enough work, we will be able to prove the infinitude of the Mersenne Primes. This, because of the logical relationship of certain very old, very important number theoretical questions, (such as the finite or infinite number of Mersenne Primes, the Number of Fermat Primes, the Number of Perfect Numbers, the nonexistence of an odd perfect number, the Goldbach Conjecture, the Twin Prime Conjecture, the YJConjecture, and the FermatLucasY Conjecture, [the last two are presented in the mersenneforum math or puzzles sections]), will prove them all. Remind me in regard to RH: What is the critical region? ( 0.0 <= a <= 1.0 ) What's the smallest (first) real positive zero? What's a good proof that the 2n are zeros? And what's the latest status? By the way (btw) there are currently 47 known Mersenne Primes. 
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