gowers

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Name gowers
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Seen May 11 at 7:52
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Mathematics professor at Cambridge
May
9
comment Are there any very hard unknots?
Thank you for this example. It's quite interesting as it is in some sense a "product" of smaller knots. I tried replacing the bundles of strands (most of the time four strands) by a single strand and obtained a picture of a knot that I can't instantly see to be the unknot, though I did find a local way of reducing the number of crossings. If this "quotient" knot is not the unknot, then it's a very interesting example.
Mar
30
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Mar
29
comment What can be proved about the Ramanujan conjecture using elementary means?
I don't mind complex analysis, but I'm wondering whether a "non-structural" proof is possible. Without saying precisely what I mean by that, I would say that modular forms are on the wrong side of the boundary.
Mar
29
revised What can be proved about the Ramanujan conjecture using elementary means?
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29
revised What can be proved about the Ramanujan conjecture using elementary means?
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Mar
29
comment What can be proved about the Ramanujan conjecture using elementary means?
Ah, I see the point now. OK, I'll go back and add a condition.
Mar
29
comment What can be proved about the Ramanujan conjecture using elementary means?
I'm taking $1-q^{a_r}$, and not $1+(-q)^{a_r}$.
Mar
29
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Mar
29
asked What can be proved about the Ramanujan conjecture using elementary means?
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2
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28
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