Lower bounds in some power sum problems

2007/04/15 by Johan Andersson, Andersson, Johan · 1 citation
Mathematics · #11N30 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0704.1879

openalex publication_date 2007/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the power sum problem max_v=1,...,m | sum_k=1ⁿ 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 cn² for constants c>1.

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