Abstract
Let j{z) = Yu?-\}l(~))> where z, ^ 0 and ^ J ^ l / k ^ l < oo. Then / c a n be realized as the complex conjugate of the gradient of a logarithmic potential or, for integral a}, as the logarithmic derivative of a meromorphic function. We investigate conditions on a} and zj that guarantee that / has zeros. In the potential theoretic setting, this asks whether certain logarithmic potentials with discrete mass distribution have equilibrium points.
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