I am an undergraduate majoring in mathematics and I am currently working on a paper with a professor oversea. I found that there might be a proof I cannot understand on the statistic paper on arxiv he asked me to read, and he was not sure if the author is correct as well. I wonder what should I do now. The proof is a bit long so I can barely discuss it with students around me. Should I look for discussion related somewhere, or write an email to the author directly? thx in advance
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4Reaching out to authors is always a good thing to try. Some can be REALLY helpful. Also you should check to see if there is a published article for the preprint. If there is then you may find additional explanation. – Jason White Jan 15 '24 at 16:47
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1Does this answer your question? What can I do if I don’t completely understand a paper? – Anyon Jan 15 '24 at 16:50
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1You should start by talking to the professor you are working with. – Andy Putman Jan 15 '24 at 18:05
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There are three things you (and your advisor) can do. First, yes, you can ask the authors for more detail saying that you can't connect the parts they show.
Second, you can try to provide your own proof, using what they have as an outline, trying to connect those parts.
Third, you can try to find a counterexample to the overall statement. It may be that they got it wrong.
The last two might be frustrating, but they might also improve your mathematical skill and insight. It is how mathematicians work, of course, once they have an idea for something that might be true.
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1Adding to this: it is certainly possible that the authors assumed something they didn't mark down, making the theorem statement false as written (but true under some restrictions). – Cameron Williams Jan 15 '24 at 22:23