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Timeline for Combinatorics of resultants

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Apr 13, 2017 at 12:19 history edited CommunityBot
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Jul 25, 2013 at 16:33 vote accept minar
Jul 23, 2013 at 20:52 history edited minar CC BY-SA 3.0
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Jul 23, 2013 at 1:11 comment added Gerry Myerson The infinity norm of the vector of coefficients, otherwise known as the height of the polynomial, is discussed in Carlos D'Andrea and Kevin G. Hare, On the height of the Sylvester resultant, Experimental Mathematics, 13:3 (2004) 331-341.
Jul 22, 2013 at 18:54 comment added David E Speyer Counting nonzero terms sounds easier to me, not that I was able to do either.
Jul 22, 2013 at 18:53 comment added minar @DavidSpeyer: Thanks for your suggestion. Seeing your attempts, do you think it would be easier to count the nonzero terms of the determinant or maybe the $L_1$ norm of the vector of coefficients ?
Jul 22, 2013 at 17:52 answer added Igor Rivin timeline score: 5
Jul 22, 2013 at 16:57 comment added David E Speyer I played around a little in Sloane's encyclopedia. For $\deg f=1$, the answer is $\deg g+1$. For $\deg f =2$, the answer appears to be oeis.org/A002623. No luck for the general question. Some sequences which look good at first but then fail are A227125, A202560 and A156353; the latter two were attempts at the variant problem of counting the nonzero terms in the determinant, before combining equal terms.
Jul 22, 2013 at 16:39 review First posts
Jul 22, 2013 at 17:00
Jul 22, 2013 at 16:19 history asked minar CC BY-SA 3.0