On flat polynomials with non-Negative coefficients

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e. H. el Abdalaoui , M. G. Nadkarni This is my paper · ORCID

classification math.DSmath.CVmath.NTmath.PRmath.SP

keywords coefficientsflatnon-negativepolynomialsanalyticconditionformulatenecessary

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

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$
math.NT 2025-09 reject novelty 7.0 of 10

Claims to confirm the L^α-Littlewood, L^1-Newman, and L^∞-Erdős conjectures via a short Clarkson-inequality argument, but the key norm-convergence step is unjustified.
On $L^\alpha$-flatness of Erd\H{o}s-Littlewood's polynomials
math.CA 2025-04 reject novelty 6.0 of 10

The paper asserts a proof that Littlewood polynomials are not L^alpha-flat for even alpha > 2, but the final contradiction step is not justified.