Math Help Forum

Math Help Forum Feed Site Feed

Go Back   Math Help Forum > Math Resources > Mathematics News
Reply
 
Thread Tools Display Modes
  #31  
Old June 6th, 2008, 08:51 AM
tukeywilliams's Avatar
Senior Member
 
Join Date: Mar 2007
Posts: 307
Country:
Thanks: 49
Thanked 106 Times in 95 Posts
tukeywilliams will become famous soon enoughtukeywilliams will become famous soon enough
Default

apparently it has been proved: here
Reply With Quote
The following users thank tukeywilliams for this useful post:
Donate to MHF
Advertisement
 
  #32  
Old June 6th, 2008, 09:33 AM
ThePerfectHacker's Avatar
Global Moderator

 
Join Date: Nov 2005
Location: New York City
Posts: 11,186
Country:
Thanks: 482
Thanked 3,754 Times in 3,070 Posts
ThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond repute
Default

I do not think that is the actual problem. Maybe some modified problem. There is a Riemann Hypothesis (which is proved) for function fields. Maybe this is some modifed problem?
__________________

To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.


"Democracy has proved only that the best way to gain power
over people is to assure the people that they are ruling
themselves. Once they believe that, they make wonderfully
submissive slaves." - Joseph Sobran


To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.
Reply With Quote
  #33  
Old June 6th, 2008, 09:35 AM
galactus's Avatar
Eater of Worlds

 
Join Date: Jul 2006
Location: Chaneysville, PA
Posts: 2,876
Country:
Thanks: 121
Thanked 1,104 Times in 992 Posts
galactus has much to be proud ofgalactus has much to be proud ofgalactus has much to be proud ofgalactus has much to be proud ofgalactus has much to be proud ofgalactus has much to be proud ofgalactus has much to be proud ofgalactus has much to be proud ofgalactus has much to be proud of
Default

The RH has been proven?. Wow, that is a big deal. First I have heard of it. I am sure it'll have to be scrutinized ad nauseum before it is accepted as a valid proof.
Reply With Quote
  #34  
Old June 6th, 2008, 12:55 PM
Member
 
Join Date: Mar 2008
Posts: 143
Country:
Thanks: 28
Thanked 31 Times in 29 Posts
Unenlightened is on a distinguished road
Default

There are parts that look similar, yes, but I doubt there's enough of a connection to conclude there's a proof of the RH.

Most likely it's just something to grab passing mathematicians' attention - as it seems to have done

I'd say if they were more confident of having a proof, or of even providing a stepping-stone, that they would hold out in the hope of cracking it - considering the prize that's at stake...
No one's going to remember the penultimate step in cracking the hypothesis...
Reply With Quote
  #35  
Old June 9th, 2008, 04:07 PM
Newbie
 
Join Date: Jun 2008
Posts: 1
Country:
Thanks: 0
Thanked 1 Time in 1 Post
echoes is on a distinguished road
Default

Quote:
Originally Posted by Jhevon View Post
yes. i know the theorem. just curious, what doors would it open if the theorem is actually proven? are there theorems in existence that are like "if the Riemann Hypothesis were true, then ..." like there were with the Takamuri conjecture? (i'm almost certain i spelt that wrong)

i have to read up on how Riemann came up with the hypothesis...
There are lots of theories that begin by assuming the Riemann Hypothesis is true. I think it's Marcus du Sautoy's book "The Music of the Primes" that gives an estimate.
Reply With Quote
The following users thank echoes for this useful post:
Donate to MHF
  #36  
Old June 9th, 2008, 08:37 PM
Aryth's Avatar
Senior Member
 
Join Date: Feb 2007
Posts: 461
Country:
Thanks: 107
Thanked 157 Times in 147 Posts
Aryth has a spectacular aura aboutAryth has a spectacular aura about
Default

Quote:
Originally Posted by echoes View Post
There are lots of theories that begin by assuming the Riemann Hypothesis is true. I think it's Marcus du Sautoy's book "The Music of the Primes" that gives an estimate.
All numerical evidence to date supports the hypothesis, but its actual truth is unknown.

For information on the \zeta-function and the Riemann Hypothesis, you should read:

T. M. Apostol (1976) Introduction to Analytic Number Theory

H. A. Priestley (2003) Introduction to Complex Analysis

For other popular accounts (Like du Sautoy's), read:

J. Derbyshire (2003) Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics

K. Sabbagh (2003) The Riemann Hypothesis: The Greatest Unsolved Problem in Mathematics

K. Devlin (1988) Mathematics: The New Golden Age

K. Devlin (2002) The Millenium Problems: The Seven Greatest Unsolved Mathematical Puzzles of Our Time

There's more of course... The first two are good intros to analysis and the zeta function, the last five are good popular books that aren't too mathematically rigorous.
Reply With Quote
  #37  
Old July 2nd, 2008, 11:34 AM
MathGuru's Avatar
Rapscallion

 
Join Date: Mar 2005
Location: San Diego
Posts: 663
Country:
Thanks: 50
Thanked 258 Times in 94 Posts
MathGuru is just really niceMathGuru is just really niceMathGuru is just really niceMathGuru is just really niceMathGuru is just really nice
Default

Here is the arxiv.org link

[0807.0090] A proof of the Riemann hypothesis
__________________
Math Guru
Reply With Quote
  #38  
Old July 2nd, 2008, 01:05 PM
Chris L T521's Avatar
MHF Moderator

 
Join Date: May 2008
Location: Beltrami and Reeb Fields
Posts: 2,465
Country:
Thanks: 2,287
Thanked 2,010 Times in 1,431 Posts
Chris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond repute
Send a message via Skype™ to Chris L T521
Default

When I found out about the Prize Problems, the one that appealed to me the most was the Riemann Hypothesis. I wanted to solve that one. However, when I heard TPH wanted to solve that, I decided to pick something else [since it had to do with number theory, and I have no clue what it is...yet...]. So I have decided to take on the Navier-Stokes Problem.

...Do you think that the Riemann Hypothesis has been "officially" solved??
__________________

To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.



To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.



To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.

(Will be MIA until December 17th)

Stuck on DE's? See
To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.
!

See
To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.
for Maple programming tips.


Become a fan of
To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.
!
Reply With Quote
  #39  
Old July 2nd, 2008, 01:17 PM
ThePerfectHacker's Avatar
Global Moderator

 
Join Date: Nov 2005
Location: New York City
Posts: 11,186
Country:
Thanks: 482
Thanked 3,754 Times in 3,070 Posts
ThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond reputeThePerfectHacker has a reputation beyond repute
Default

Quote:
Originally Posted by Chris L T521 View Post
[since it had to do with number theory, and I have no clue what it is...yet...].
Like I said the original RH is not number theory it is complex analysis.
Quote:
So I have decided to take on the Navier-Stokes Problem.
I hope you solve that one. It has to do with differencial equations, stuff that you like.
Quote:
...Do you think that the Riemann Hypothesis has been "officially" solved??
No. The paper is either a RH formulation in number fields not the original problem. And RH in number fields is solvable. If the person claims it is the original problem then it is probably wrong. Just read what Wikipedia says about RH, if it does not say anything about anyone writing a paper which has a solution then it means it is not solved.
__________________

To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.


"Democracy has proved only that the best way to gain power
over people is to assure the people that they are ruling
themselves. Once they believe that, they make wonderfully
submissive slaves." - Joseph Sobran


To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.
Reply With Quote
  #40  
Old July 2nd, 2008, 01:28 PM
Chris L T521's Avatar
MHF Moderator

 
Join Date: May 2008
Location: Beltrami and Reeb Fields
Posts: 2,465
Country:
Thanks: 2,287
Thanked 2,010 Times in 1,431 Posts
Chris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond reputeChris L T521 has a reputation beyond repute
Send a message via Skype™ to Chris L T521
Default

Quote:
Originally Posted by ThePerfectHacker View Post
Like I said the original RH is not number theory it is complex analysis.
I forgot that you mentioned that earlier...

Quote:
I hope you solve that one. It has to do with differencial equations, stuff that you like.
Thanks! If this problem hasn't been solved, I wish you luck in beating others to it. The Navier-Stokes Problem is a pretty interesting problem...and the whole thing doesn't need to be solved in order to win the prize...I think. They request that only one of the four statements [they propose] needs to be proven. See here.

Quote:
No. The paper is either a RH formulation in number fields not the original problem. And RH in number fields is solvable. If the person claims it is the original problem then it is probably wrong. Just read what Wikipedia says about RH, if it does not say anything about anyone writing a paper which has a solution then it means it is not solved.
I read this weeks ago and I agree with what you said. I also heard that it takes a couple years for the Institute to examine the submitted proof before the problem has been declared as solved or not solved...
__________________

To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.



To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.



To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.

(Will be MIA until December 17th)

Stuck on DE's? See
To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.
!

See
To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.
for Maple programming tips.


Become a fan of
To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.
!
Reply With Quote
  #41  
Old July 4th, 2008, 04:38 PM
NonCommAlg's Avatar
MHF Contributor

 
Join Date: May 2008
Location: Vancouver
Posts: 1,756
Country:
Thanks: 211
Thanked 1,284 Times in 955 Posts
NonCommAlg has much to be proud ofNonCommAlg has much to be proud ofNonCommAlg has much to be proud ofNonCommAlg has much to be proud ofNonCommAlg has much to be proud ofNonCommAlg has much to be proud ofNonCommAlg has much to be proud ofNonCommAlg has much to be proud ofNonCommAlg has much to be proud ofNonCommAlg has much to be proud of
Default

Quote:
Originally Posted by MathGuru View Post
Terence Tao believes that the proof is not valid!
Reply With Quote
The Following 3 Users Say Thank You to NonCommAlg For This Useful Post:
Donate to MHF
  #42  
Old August 24th, 2008, 09:59 AM
Super Member
 
Join Date: Aug 2008
Posts: 601
Country:
Thanks: 46
Thanked 261 Times in 226 Posts
shawsend is a jewel in the roughshawsend is a jewel in the roughshawsend is a jewel in the roughshawsend is a jewel in the rough
Default

Quote:
Originally Posted by tukeywilliams View Post
apparently it has been proved: here
Dr. Koornwinder feels Professor Zhang's paper is also not correct:

http://staff.science.uva.nl/~thk/art/comment/ZhangRuimingComment.pdf

Last edited by shawsend; August 24th, 2008 at 10:30 AM.
Reply With Quote
  #43  
Old December 20th, 2008, 02:56 AM
Newbie
 
Join Date: Oct 2008
Posts: 1
Country:
Thanks: 0
Thanked 0 Times in 0 Posts
RobertK is on a distinguished road
Default

I've recently been reading 'The Music of the Primes' by Marcus du Sautoy. Being still at school, I can't really fully understand the whole problem, let alone solve it, but I have had a couple of thoughts:
1. Has anyone ever looked at non-primes, because if some of them are on the line it may not be as useful.
2. Has anyone thought of looking at the area (or volume) under the graph, for example between neighbouring zeroes?
I apologise if these have been thought of already, but if not, I hope that they provide some headway into the problem, or some enjoyment in trying them out.
Reply With Quote
  #44  
Old January 4th, 2009, 03:24 AM
Newbie
 
Join Date: Jul 2008
Posts: 6
Country:
Thanks: 0
Thanked 0 Times in 0 Posts
DangerMaths is on a distinguished road
Post

For two, I think that the area under the line would diverge.
But who knows......(-:
Reply With Quote
Reply

Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are Off
Pingbacks are Off
Refbacks are Off
Forum Jump


All times are GMT -7. The time now is 08:34 AM.


Powered by vBulletin® Version 3.7.3
Copyright ©2000 - 2009, Jelsoft Enterprises Ltd.
SEO by vBSEO 3.2.0 ©2008, Crawlability, Inc.
©2005 - 2009 Math Help Forum


Math Help Forum is a community of maths forums with an emphasis on maths help in all levels of mathematics.
Register to post your math questions or just hang out and try some of our math games or visit the arcade.