Mathematician-M.D. claims to have solved the 110-year-old Lindelöf hypothesis
Speaking as an analytic number theorist, the branch of math of which the Lindelof Hypothesis is part:This is a huge deal, if true. But USC's PR machine seems to have jumped the gun.The paper in question, found herehttps://arxiv.org/pdf/1708.06607.pdfhas so far only been posted to the arXiv (and only eight days ago). It has presumably not been subjected to any sort of peer review yet. No third party other than USC has announced the results. There's no chatter among my mathematician friends, or on the blogosphere.Fokas's results could be correct. If the community comes to a consensus that they are, this would be a tremendous advance, and the analytic number theory community as a whole will be trumpeting them.But, for the time being, I stipulate that some small technical error is probably lurking in the details, which would take hours to find, and which will tank the proof.I hope that I am proven wrong. Until then I propose the headline: "Mathematician-M.D. claims to have solved one of the greatest open problems".