Geodesic
Polynomials with Real Roots
Canadian mathematical bulletin, Tome 5 (1962) no. 3, pp. 259-263

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In a recent issue of this Bulletin a problem equivalent to the following is proposed by Moser and Pounder [1]:If ax2+bx+c is a polynomial with real coefficients and real roots then a+b+c ≤9/4 max (a, b, c).The object of this note is to prove the following theorems which generalise this result.Theorem 1. Let αn be the smallest constant such that n for all polynomials 1 
Dixon, J. D. Polynomials with Real Roots. Canadian mathematical bulletin, Tome 5 (1962) no. 3, pp. 259-263. doi: 10.4153/CMB-1962-026-4
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     title = {Polynomials with {Real} {Roots}},
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     year = {1962},
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     number = {3},
     doi = {10.4153/CMB-1962-026-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1962-026-4/}
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