20100408, 15:36  #1 
"Ed Hall"
Dec 2009
Adirondack Mtns
1001011111101_{2} Posts 
A Study of Primes Through NonResonant Sine Waves
A couple years ago I was playing around with an idea of showing the relationship of resonance to prime numbers. The following paper is the result of that "playing."
It is presented here for review and critique, in its unfinished form. It is probably of no true worth, other than the interest I had in exploring the topic at the time. I have seen no other work directly related to it, but my math community involvement has been almost nonexistent for far too many years... All comments welcome. Pile it on  I have high shoulders. A Study of Primes Through NonResonant Sine Waves (pdf document) 
20100408, 17:09  #2  
"Bob Silverman"
Nov 2003
North of Boston
5^{2}·13·23 Posts 
Quote:
The paper has no merit whatsoever. 

20100408, 17:22  #3  
"Richard B. Woods"
Aug 2002
Wisconsin USA
2^{2}·3·641 Posts 
Quote:
Quote:
I say "computationallyexpensive" because finding each prime in your method requires many trigonometric function computations, whereas, as you can see from the MathWorld article, no trigonometric computation is actually required to find your zerocrossingatinteger values. As you quite accurately believed, "there is a way mathematically". 

20100408, 17:24  #4 
"Richard B. Woods"
Aug 2002
Wisconsin USA
7692_{10} Posts 
Moderators,
Can we just have a deletion of every Silverman post in which he makes only such useless downputting (not to mention, erroneous) remarks as that one? He's just discouraging newbies from posting in our forum, which, you will note, is exactly what he has publicly stated that he wants to do. He wants to drive out new participants who do not meet his personal standards of worthiness to post mathrelated messages. Again: He has publicly stated that he wants to discourage certain people from participating in this forum in a proper manner. I think that goes beyond the bounds of proper forum behavior, and he evidently cannot control his compulsion to post cutting remarks. We've humored him for years because of his genuine numbertheoretical talent, but he's become more of a negative contributor than a positive one.    Mr. Silverman, Will you please seek treatment for your obsessivecompulsive disorder?    EdH, I recommend that you put R.D. Silverman on your forum "Ignore List". Click on "User CP" at left side of top justundertheheadingline. At User Control Panel, click on "Edit Ignore List" at the left under "Settings & Options". Last fiddled with by cheesehead on 20100408 at 17:45 
20100408, 17:42  #5  
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
3×7×547 Posts 
Quote:
That's my view, anyway. A frequent poster to this forum will recognize that particular putdown because I used it on him a number of times in email. Identity withheld in order to protect the guilty. Newbie posters need to develop a thick skin. I will very happily assist them to do that, but I won't disguise that necessity through censorship of others. IMAO, newbies should also develop their skills in presenting an argument, whether mathematical or otherwise. Again, I'm very happy to help them in that process. If Bob's arguments are erroneous, say so in public and, especially, explain why they are erroneous. I've known Bob for about twenty years now. In my experience he has invariably acknowedged his errors whenever they have been pointed out to him. I've also spent many years arguing that his pedagogical approach may be suboptimal. He's as entitled to his approach as I am mine. Time will tell which of us has been the more effective. Personal opinion: it's not only newbies that need to develop a thick skin. Paul 

20100408, 17:46  #6 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
2^{2}·17·97 Posts 
Is someone with 271 posts here still a newbie?

20100408, 17:47  #7 
"Richard B. Woods"
Aug 2002
Wisconsin USA
7692_{10} Posts 

20100408, 17:51  #8 
"Richard B. Woods"
Aug 2002
Wisconsin USA
2^{2}×3×641 Posts 

20100408, 18:08  #9  
"Bob Silverman"
Nov 2003
North of Boston
7475_{10} Posts 
Quote:
Cheesehead & retina and others are not. They have never: (AFAIK) (1) Acted as an editor of a research publication, (2) Acted as a referee for a paper wanting to be published, (3) Acted as a reviewer for a paper already published, (4) Had to deal with a professional review of a paper that they submitted for publication, (5) And have never acted as a teaching fellow (with grading responsibilities) for a math course. They do not have the competence to make a judgment about the mathematical value of a paper. If my peers in this forum believe that I am mistaken in my judgment about the paper, then I gladly accept their criticisms. Someone submitting a paper in a public forum should meet certain minimal standards of scholarship. The paper under discussion does not meet those standards. It contains a lot of handwaving, nonstandard use of notation, and much too little rigor to be taken seriously. In a general way it is much too informal to have much merit. Finally, it is no mystery that sine functions (and their compositions) are periodic in a way that corresponds to the periodicity of modular arithmetic. 

20100408, 18:19  #10  
"Bob Silverman"
Nov 2003
North of Boston
5^{2}·13·23 Posts 
Quote:
review. The author is anonymous, so I can't be accused of personal bias. There have been a number of papers that I have been asked to referee that I sent back very quickly (to the editor) with the simple note that the paper was so poor as not to merit diligent scrutiny. I have even had two papers of mine rejected with the review: "not much merit" and "not very interesting". In both cases I simply asked for further explanation, revised them accordingly, and submitted them elsewhere. 

20100408, 18:22  #11 
6809 > 6502
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Aug 2003
101ร103 Posts
24736_{8} Posts 

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