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Mar 4, 2017 at 21:43 comment added Loïc Teyssier @Sergei: I do believe that old MGU Olympiad problems are off-topic here. Which does not mean the problem is not interesting or full of ramifications. I find Fedor's answer enlightening. Yet I voted to close, since I think this is the spirit of MO. Especially since the post was seemingly given as a calculus exercise, without any context or motivation whatsoever.
Mar 4, 2017 at 17:54 comment added Sergei I do protest again against this put on hold ! It is an interesting problem with long history! It was first proposed at MGU Olympiad in 1976. It is also in deep connection with famous unusual Ramanujan's inequality and further Szego results.
Mar 4, 2017 at 15:21 history closed Loïc Teyssier
Lucia
Chris Godsil
Vladimir Dotsenko
Michael Albanese
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Mar 4, 2017 at 15:01 answer added Fedor Petrov timeline score: 3
Mar 4, 2017 at 14:57 review Close votes
Mar 4, 2017 at 15:21
Mar 4, 2017 at 14:41 review First posts
Mar 4, 2017 at 14:59
Mar 4, 2017 at 14:36 history asked Eric Zhang CC BY-SA 3.0