Let S_{\nu}\equal{}\sum_{j\equal{}1}^n b_jz_j^{\nu} \;(\nu\equal{}0,\pm 1, \pm 2 ,...) , where the bj are arbitrary and the zj are nonzero complex numbers . Prove that ∣S0∣≤n0<∣ν∣≤nmax∣Sν∣.
G. Halasz complex numbersreal analysisreal analysis unsolved