A nonzero complex sequence with vanishing power-sums

Andrew Lenard
1990 Proceedings of the American Mathematical Society  
In response to a question of W. M. Priestley, we construct a nonvanishing infinite sequence of complex numbers (a,) such that all the power-sums D;a/ (r = 1,2,3,...) vanish.
doi:10.1090/s0002-9939-1990-1009993-9 fatcat:fdjiqwp2gbgv5c3nt3irwr75oi