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A note on the moments of sequences of complex numbers

Complex Variables 2020-04-07 v1

Abstract

We give a short proof that the limsup of the p-th root of the modulus of the p-th moment of a sequence of complex numbers is equal to the modulus of the maximum of the sequence.This strengthens known results, and provides an analog to a recent result concerning moments of complex polynomials.

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Cite

@article{arxiv.2004.02611,
  title  = {A note on the moments of sequences of complex numbers},
  author = {Greg Markowsky and Maher Boudabra},
  journal= {arXiv preprint arXiv:2004.02611},
  year   = {2020}
}

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