Geodesic
Equalizing the Coefficients in a Product of Polynomials
Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 531-539

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In 1959, Moser [4] posed the following problem: how should a pair of n-sided dice be loaded (identically) so that, on throwing the dice, the frequency of the most frequently occurring sum is as small as possible? This can be recast in the following form: determine for each n(≥1), the polynomial P n (x) which minimizes the maximum coefficient in the polynomial subject to the conditions that the coefficients of P n (x) are nonnegative and sum to unity. 
Macleod, R. A.; Roberts, F. D. K. Equalizing the Coefficients in a Product of Polynomials. Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 531-539. doi: 10.4153/CMB-1973-087-x
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     author = {Macleod, R. A. and Roberts, F. D. K.},
     title = {Equalizing the {Coefficients} in a {Product} of {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {531--539},
     year = {1973},
     volume = {16},
     number = {4},
     doi = {10.4153/CMB-1973-087-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-087-x/}
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