English

Lower bounds in some power sum problems

Number Theory 2007-05-23 v1

Abstract

We study the power sum problem max_{v=1,...,m} | sum_{k=1}^n z_k^v | and by using features of Fejer kernels we give new lower bounds in the case of unimodular complex numbers z_k and m cn^2 for constants c>1.

Keywords

Cite

@article{arxiv.0704.1879,
  title  = {Lower bounds in some power sum problems},
  author = {Johan Andersson},
  journal= {arXiv preprint arXiv:0704.1879},
  year   = {2007}
}

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9 pages