Timeline for Sums of inverse determinants over matrices
Current License: CC BY-SA 3.0
5 events
when toggle format | what | by | license | comment | |
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Jun 2, 2013 at 15:50 | comment | added | Sungjin Kim | I think the true bound is $S(r)=O(r^2\log r + r^3)$ now. | |
Jun 2, 2013 at 15:49 | comment | added | Sungjin Kim | I realized that that estimate was overestimate. This is a counting argument for lattice points, like one uses for Gauss Circle Problem. The number of lattice points inside a convex region is approximated by the area of the region + error term depending on perimeter. | |
Jun 2, 2013 at 10:18 | comment | added | Anton Menshov | Could you clarify how did you get that $A_t \leq 4\sqrt{2} r^3 t + O(r^3)$ ? | |
Jun 1, 2013 at 23:19 | comment | added | Sungjin Kim | Argument seems to work in general, $S(r)=O(r^{n^2-1}\log r)$. | |
Jun 1, 2013 at 23:01 | history | answered | Sungjin Kim | CC BY-SA 3.0 |