Timeline for When is a monic integer polynomial the characteristic polynomial of a non-negative integer matrix?
Current License: CC BY-SA 4.0
4 events
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| Nov 22, 2021 at 1:43 | history | edited | David Roberts♦ | CC BY-SA 4.0 |
fixed arxiv front-end link and title; added MR link; formatting
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| Nov 4, 2009 at 7:02 | history | edited | Ian Agol | CC BY-SA 2.5 |
added 446 characters in body
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| Nov 4, 2009 at 1:11 | comment | added | Qiaochu Yuan | 1. For quadratic polynomials a necessary condition is that the linear term is non-positive, since the trace is non-negative. It's not hard to get all polynomials of the form x^2 - 2nx + 1, but admittedly I haven't thought too hard about the quadratic case. 2. No. For example, P(x) = x^n - 1 works. | |
| Nov 4, 2009 at 0:45 | history | answered | Ian Agol | CC BY-SA 2.5 |