![]() ![]() Update: It looks like a problem with the proof has been found. If your comment is like any of the ones there, please don’t submit it, but comments from the well-informed are strongly encouraged. Given the history of this subject, I think the odds are against Li, but I’m curious to know what experts think of this. I suspect though that experts are already looking at this proof, and it appears to be written up in a way that should allow them to relatively quickly see whether it works. I’m no expert in this subject, so in no position to check the proof or to have an intelligent opinion about whether his method of proof contains a new, promising idea. If the arXiv submission of the preprint is the first time he has shown it to anyone, that dramatically increases the already high odds that there’s most likely a problem somewhere that he has missed. Cardon who have obtained academic positions in that order for him during his difficult times of finding a job.īut it is a little worrisome that he doesn’t explicitly thank any experts for consultations about this proof. He describes his approach as using a trace formula and “in the spirit of A. Li was a student of Louis de Branges, who also had made claims to have a proof, although as far as I know de Branges has not had a paper on the subject refereed and accepted by a journal. Wikipedia has a listing for Li’s criterion, a positivity condition equivalent to the Riemann Hypothesis. This one is somewhat different, with the author a specialist in analytic number theory who does have a respectable publication record. Most of them are obviously implausible, invoking a few pages of elementary mathematics and authored by people with no track record of doing serious mathematics research. ![]() Preprints claiming such a proof have been pretty common, and always wrong. Last night a preprint by Xian-Jin Li appeared on the arXiv, claiming a proof of the Riemann Hypothesis. ![]()
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