On flat polynomials with non-Negative coefficients

2015/08/03 by El Houcein El Abdalaoui, Abdalaoui, e. H. el, M. G. Nadkarni +1 · 1 citation
Mathematics · #37A05 #37A30 #37A40 (Primary) #42A05 #42A55 (Secondary) #Analytic Number Theory Research #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Approximation and Integration #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Probability (math.PR) #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.1508.00417

openalex publication_date 2015/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We formulate and prove a necessary condition for a sequence of analytic trigonometric polynomials with real non-negative coefficients to be flat a.e.

Citations

• Some Notes on Flat Polynomials

Cited by

• A generalization of Littlewood's L^α flat theorem, α>0

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