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I am pretty firmly convinced that I have proven the non-existence of odd perfect numbers and now I am wanting to write it up (Qi: What is the best way or writing maths on a computers?). I also desire to know the general standards of publishing small results such as this so being pointed in the direction of any of the literature to give me idea what I need to write up would be much appreciated. Finally, I need to know where I can submit the result for review and (hopefully) publication. thanks in advance!

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    That's not a "small" result. If you know how to formulate the proof, you know how to write it up. Submit it to a number theory journal. However, as I'm sure you know, there's a good chance that you're mistaken. It would be wise to show your proof to a mathematician first. – David Ketcheson May 4 '14 at 16:44
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    What is the best way or writing maths on a computer? — LaTeX. – JeffE May 4 '14 at 20:24
  • I strongly recommend reading Henry Cohn's advice (research.microsoft.com/en-us/um/people/cohn/Thoughts/…). – Andy Putman May 5 '14 at 2:43
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    That being said, my advice is to worry some more about the correctness of your argument before worrying about the details of typing a paper. I'm not just saying this because you're a secondary school student. Any mathematician who thinks he or she has discovered a solution to a long-standing open problem should be very skeptical and enlist the help of other mathematicians in going over the argument carefully to make sure that it is correct. Many mistakes are discovered at this stage. – Trevor Wilson May 5 '14 at 18:25
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Well, as I always say, the academia is a circle with its own established convention to follow. In terms of paper publication, you have to learn how to describe things using the terminology and way of expression accepted by the academia. Normally you need several years of regular university education to master these.

But in your particular case, I think it would be easier if you could find a mentor in the university (e.g. a professor or a research) who really understands and recognize your research result and has your trust. He could teach you what is a logic and sound research and how to speak in the language used in the academic community.

Another solution is just publish your result on your personal blog (I mean a well-known blog system like google+ or wordpress, so that the timestamp of your post will tell the world you're the original holder of the idea) and try to make your result get noticed by the academic people.

If you really want to challenge people's stereotype about academic paper author, you could also try to publish paper yourself. But it is definitely extremely hard.

  • I mean publish on a well-known public blog system, like google+ or wordpress. The timestamp of the article will tell the world who's the original holder of the idea. – Jhz832 May 4 '14 at 18:04
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    @Jhz832 I have not personally used arXiv, but I believe the "timestamp idea" is one feature of that site... – apnorton May 4 '14 at 18:06
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    Publishing on ArXiv for the first time requires an "endorsment" from an established author. The OP will likely not have that. – Federico Poloni May 4 '14 at 20:00
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    @FedericoPoloni But if his result is correct, he'll have absolutely no trouble finding an endorsement, provided he's willing to show it to an established mathematician. – JeffE May 4 '14 at 20:23
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    google+ is not a blog system. And it is absolutely unsuitable for mathematics. – darij grinberg May 5 '14 at 1:10

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