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Mar 16, 2017 at 19:39 history edited Luc Guyot CC BY-SA 3.0
$1$ is the natural bound when using one of the initial coefficients as a pivot
Mar 15, 2017 at 17:47 history edited Luc Guyot CC BY-SA 3.0
Explains with details why the second observation implies the result
Mar 15, 2017 at 6:19 history edited Luc Guyot CC BY-SA 3.0
Fixes bound on the maximum modulus: there are $n!$ terms in the expansion of the determinant, not just $n$.
Mar 14, 2017 at 21:36 comment added YCor Additional remark: in the ultrametric setting the bound $1/\sqrt[n]{n}$ can be replaced by 1, which provides a better bound in that case.
Mar 14, 2017 at 20:43 history edited Luc Guyot CC BY-SA 3.0
Shortens the first sentence for clarity's sake
Mar 14, 2017 at 20:30 comment added Luc Guyot @YCor: Yes, you are right. I edited my answer so that it incorporates your comment.
Mar 14, 2017 at 20:29 history edited Luc Guyot CC BY-SA 3.0
Integrates YCor's comment AND fixes few typos
Mar 14, 2017 at 18:13 comment added YCor The argument seems to work in any normed field, right?
Mar 14, 2017 at 17:48 history answered Luc Guyot CC BY-SA 3.0