Lower bounds in some power sum problems

Details Lower bounds in some power sum problems Lower bounds in some power sum problems

2007-04-15

arxiv.org/abs/0704.1879v1

Mathematics

Number Theory

9 pages

Scientific paper

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.

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