Timeline for Asymptotic number of invertible matrices with integer entries
Current License: CC BY-SA 3.0
4 events
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| Jun 19, 2012 at 14:37 | comment | added | Igor Rivin | @Denis: I am reading what the OP wrote: $p(r)$ goes to $0$ as $r\rightarrow \infty,$ as invertible matrices are dense in the set of all matrices. Now, this does not actually make sense as written, but I take it to mean that (s)he he is using $p(r)$ to refers to the proportion of non-invertible matrices, hence my interpretation. In any case, my original answer together with the addition answers both questions. | |
| Jun 19, 2012 at 6:39 | comment | added | Denis Serre | @Igor. How do you know the exact content of the OP ? I personally interpret it as the asymptotics of those integer matrices such that $\det M=\pm1$, rather than $\det M\ne0$. The latter situation is not that appealing. | |
| Jun 19, 2012 at 3:49 | history | edited | Igor Rivin | CC BY-SA 3.0 |
added many references
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| Jun 18, 2012 at 18:54 | history | answered | Igor Rivin | CC BY-SA 3.0 |