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I am interested about where a mathematical discovery can be posted to be credited for it, if its "father" is an undergraduate or someone who never took mathematics courses but studies mathematics on his own and is pretty good at it? Is it some scientific company or some university?

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    $\begingroup$ Not to discourage, but the chances of a new discovery by someone without some exposure to the mathematical community are fairly small. You might want to mention what field of mathematics you are thinking of. $\endgroup$ – copper.hat Mar 3 '17 at 4:24
  • $\begingroup$ @copper.hat Sorry I didn't make the question clear enough. I meant someone who studies mathematics by their own and is pretty good at it but never really attended some formal teaching. I will correct the question. $\endgroup$ – KKZiomek Mar 3 '17 at 4:25
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    $\begingroup$ You would normally submit the result as a paper or note to a relevant journal. $\endgroup$ – copper.hat Mar 3 '17 at 4:27
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    $\begingroup$ @copper.hat Journal like what? Let's say I discovered a new type of function which somehow turns out to be important to multivariable calculus or something. I write a paper 300 pages long about its discovery, properties, and applications. Where do I post it now? (By the way I didn't discover anything, I am just curious.) $\endgroup$ – KKZiomek Mar 3 '17 at 4:30
  • $\begingroup$ It is a little hard to answer the hypothetical, particularly given the likelihood. $\endgroup$ – copper.hat Mar 3 '17 at 4:38
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A possible venue for unpublished articles by undergraduates or anyone else is the arxiv: https://arxiv.org/

However, you will have to get an endorsement from someone who already has an authorisation to place papers there, such as a mathematician familiar with this work. This may be nontrivial but certainly easier than getting the article published in a peer-reviewed journal.

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I did original research as an undergraduate and wrote a paper on it. I published the paper I wrote on arXiv, and am currently in the process of working to get it published in a journal. In the meanwhile it's been read at least a few times because it's been cited in further work on the topic. There are also journals that specifically publish the work of undergraduates.

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