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arXiv · 2505.15994

Fourier inequalities and sign uncertainty

Roni Edwin
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Abstract

Motivated by inequalities in Fourier analysis, we present an improvement on the lower bound for the sign uncertainty principle of Bourgain, Clozel and Kahane in high dimensions. Additionally, our methods can be used to match the existing Torquato-Stillinger lower bounds for the Cohn-Elkies linear program for sphere packing.

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Roni Edwin. 2025-05-21. Fourier inequalities and sign uncertainty. https://arxiv.org/abs/2505.15994

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