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Old 2009-06-28, 04:52   #1
flouran
 
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Question R.H. May be False? wtf

Crankery?
http://arxiv.org/PS_cache/arxiv/pdf/...906.4604v2.pdf
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Old 2009-06-28, 05:18   #2
Kevin
 
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Contact information is a Yahoo e-mail address...classy.
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Old 2009-06-28, 05:20   #3
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Quote:
Originally Posted by Kevin View Post
Contact information is a Yahoo e-mail address...classy.
I'd noticed that. He also is affiliated with Guangxi Normal University lol.
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Old 2009-06-28, 06:05   #4
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Default Disproof of the Mertens Conjecture

Here is the Odlyzko-Riele 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?
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Old 2009-06-28, 06:07   #5
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Quote:
Originally Posted by flouran View Post
Hmm...not typeset in TeX (or any of its variants), so then what is this paper typeset in?
Word via Ghostscript.
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Old 2009-06-28, 11:23   #6
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Quote:
Originally Posted by flouran View Post
Here is the Odlyzko-Riele disproof of the Mertens conjecture:
http://www.dtc.umn.edu/~odlyzko/doc/arch/mertens.disproof.pdf

Hmm...not typeset in TeX (or any of its variants), so then what is this paper typeset in?
I bet it's nroff or some of its variants :)
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Old 2009-06-29, 15:25   #7
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Quote:
Originally Posted by flouran View Post
I couldn't find any clear evidence of crankery.

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 2009-06-29 at 15:30
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Old 2009-06-29, 16:03   #8
flouran
 
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Question

Quote:
Originally Posted by davieddy View Post
I couldn't find any clear evidence of crankery.
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 2009-06-29 at 16:03
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Old 2009-06-29, 16:44   #9
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Cool Background Check ;)

Quote:
Originally Posted by flouran View Post
All of the papers that Ruiming Zhang has submitted to the arXiv can be found here:
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 2009-06-29 at 16:46
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Old 2009-06-30, 21:47   #10
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(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 0<\sigma<1. 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.
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Old 2009-07-06, 15:39   #11
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[quote=philmoore]If I interpret the paper correctly, it also asserts that there are zeros arbitrarily close to the boundaries of the critical region 0<\sigma<1. 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 non-existence of an odd perfect number, the
Goldbach Conjecture, the Twin Prime Conjecture, the YJ-Conjecture, and
the Fermat-Lucas-Y 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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