R.H. May be False? wtf

flouran · 2009-06-28, 04:52

Crankery?

http://arxiv.org/PS_cache/arxiv/pdf/...906.4604v2.pdf

Kevin · 2009-06-28, 05:18

Contact information is a Yahoo e-mail address...classy.

flouran · 2009-06-28, 05:20

Quote:

Originally Posted by Kevin

Contact information is a Yahoo e-mail address...classy.

I'd noticed that. He also is affiliated with Guangxi Normal University lol.

flouran · 2009-06-28, 06:05

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?

CRGreathouse · 2009-06-28, 06:07

Quote:

Originally Posted by flouran

Hmm...not typeset in TeX (or any of its variants), so then what is this paper typeset in?

Word via Ghostscript.

ldesnogu · 2009-06-28, 11:23

Quote:

Originally Posted by flouran

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 :)

davieddy · 2009-06-29, 15:25

Quote:

Originally Posted by flouran

Crankery?

http://arxiv.org/PS_cache/arxiv/pdf/...906.4604v2.pdf

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.

flouran · 2009-06-29, 16:03

Quote:

Originally Posted by davieddy

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?

flouran · 2009-06-29, 16:44

Quote:

Originally Posted by flouran

Crankery?

http://arxiv.org/PS_cache/arxiv/pdf/...906.4604v2.pdf

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

philmoore · 2009-06-30, 21:47

(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.

davar55 · 2009-07-06, 15:39

[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.

2009-06-28, 04:52	#1
flouran Dec 2008 341₁₆ Posts	R.H. May be False? wtf Crankery? http://arxiv.org/PS_cache/arxiv/pdf/...906.4604v2.pdf

2009-06-28, 06:05	#4
flouran Dec 2008 7²×17 Posts	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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2009-06-28, 05:18	#2
Kevin Aug 2002 Ann Arbor, MI 110110001₂ Posts	Contact information is a Yahoo e-mail address...classy.

2009-06-30, 21:47	#10
philmoore "Phil" Sep 2002 Tracktown, U.S.A. 2⁵×5×7 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 $0<\sigma<1$ . 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.

2009-07-06, 15:39	#11
davar55 May 2004 New York City 10213₈ 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 $0<\sigma<1$ . 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.