Fourier growth of degree $2$ polynomials
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.
Authors
- Joseph Slote
- L. E. Becker (ORCID: https://orcid.org/0009-0008-7458-8704)
- Haonan Zhang (ORCID: https://orcid.org/0000-0001-9537-9663)
Institutions
- University of Bonn (DE)
- University of South Carolina (US)
- Princeton University (US)
- University of Washington (US)
Publication Details
- Journal
- Beijing Journal of Pure and Applied Mathematics
- Published
- 2026-01-01
- DOI
- https://doi.org/10.4310/bpam.251216170623
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
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