Research Output
Discrete restriction estimates for forms in many variables
  We prove discrete restriction estimates for a broad class of hypersurfaces arising in seminal work of Birch. To do so, we use a variant of Bourgain’s arithmetic version of the Tomas–Stein method and Magyar’s decomposition of the Fourier transform of the indicator function of the integer points on a hypersurface.

  • Type:

    Article

  • Date:

    18 September 2023

  • Publication Status:

    Published

  • Publisher

    Cambridge University Press (CUP)

  • DOI:

    10.1017/s0013091523000366

  • ISSN:

    0013-0915

  • Funders:

    Historic Funder (pre-Worktribe)

Citation

Cook, B., Hughes, K., & Palsson, E. (2023). Discrete restriction estimates for forms in many variables. Proceedings of the Edinburgh Mathematical Society, 66(4), 923–939. https://doi.org/10.1017/s0013091523000366

Authors

Keywords

discrete restriction estimates, the circle method, Diophantine equations in many variables

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