Timeline for Enumerate rational points on the unit sphere with bounded height
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Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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Nov 26, 2016 at 0:19 | history | edited | john mangual | CC BY-SA 3.0 |
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Nov 25, 2016 at 20:09 | comment | added | ACL | In fact, there is a framework (Manin-Peyre's conjecture) that proposes a conjecture and theorems in a large generality. Your question is a particular case of counting the points of P^3 lying on a quadric x^2+y^2+z^2-t^2=0 (and probably P^2 in this case). This falls under the scope of Franke-Manin-Tschinkel's paper (1989) completed by Peyre (1995). The proof of FMT uses Eisenstein series. Too bad the paper of Duke does not mention this. | |
Nov 25, 2016 at 16:34 | history | answered | john mangual | CC BY-SA 3.0 |