@article {IOPORT.05903201, author = {Armentano, Diego and Beltr\'an, Carlos and Shub, Michael}, title = {Minimizing the discrete logarithmic energy on the sphere: the role of random polynomials.}, year = {2011}, journal = {Transactions of the American Mathematical Society}, volume = {363}, number = {6}, issn = {0002-9947}, pages = {2955-2965}, publisher = {American Mathematical Society, Providence, RI}, doi = {10.1090/S0002-9947-2011-05243-8}, abstract = {Let $$V_N = \min \bigg\{ - \sum_{1 < i < j < N}\log \| x_i - x_j \| : x_i \in\mathbb{R}^3, \|x_i\| =1\bigg \}.$$ The authors give an approximate value for $V_N$ using zeros of special random polynomials.}, reviewer = {Anatoly Filip Grishin (Khar'kov)}, identifier = {05903201}, }