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arxiv: 0704.1879 · v1 · submitted 2007-04-15 · 🧮 math.NT

Lower bounds in some power sum problems

classification 🧮 math.NT
keywords boundslowerpowercasecomplexconstantsfeaturesfejer
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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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