Work

Fourier growth of degree $2$ polynomials

Year: 2026

Type: article

Abstract: We prove bounds for the absolute sum of all level-k Fourier coefficients for (-1) p(x) , where polynomial p : F n 2 → F 2 is of degree 1 or degree 2.MSC 2020 subject classifications: 68Q17, 46B10, 60E15.

Source: Beijing Journal of Pure and Applied Mathematics

DOI: 10.4310/bpam.251216170623

Authors: Lars Becker, Joseph Slote, Alexander Volberg, Haonan Zhang

Institutions: Princeton University, University of Washington, Hausdorff Center for Mathematics, Michigan State University, University of South Carolina

Language: English

Topic: Limits and Structures in Graph Theory

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, Science Foundation Ireland, Deutsche Forschungsgemeinschaft, Hausdorff Center for Mathematics, Simons Institute for the Theory of Computing, University of California Berkeley, Engineering and Physical Sciences Research Council, Hausdorff Research Institute for Mathematics, Division of Mathematical Sciences

Awards: Isaac Newton Institute for Mathematical Sciences (INI), EXC 2047: Hausdorff Center for Mathematics (HCM), G1600773818, Fourier Analysis on Quantum Systems and Applications, G4274133347, Collaborative Research: Non-homogeneous Harmonic Analysis, Spectral Theory, and Weighted Norm Estimates

OpenAlex ID: W7122610617

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