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May 2, 2012 at 17:44 vote accept David Feldman
Apr 25, 2012 at 22:48 comment added Igor Rivin It does not make any difference, the percentage of the matrices you want is the same, as long as the domain is reasonably regular (which the polydisk certainly is).
Apr 25, 2012 at 22:42 comment added David Feldman Thank you Igor for this reference! I see that Katznelson actually treats a very closely related problem - he takes a disk in ${\Bbb R}^{m\times n}$ where I asked about a polydisk. I haven't had enough time with the paper yet to judge whether that makes much difference.
Apr 25, 2012 at 18:04 history answered Igor Rivin CC BY-SA 3.0