Research Output
On the ergodic Waring–Goldbach problem
  We prove an asymptotic formula for the Fourier transform of the arithmetic surface measure associated to the Waring–Goldbach problem and provide several applications, including bounds for discrete spherical maximal functions along the primes and distribution results such as ergodic theorems.

  • Type:

    Article

  • Date:

    01 December 2021

  • Publication Status:

    Published

  • Publisher

    Elsevier BV

  • DOI:

    10.1016/j.jfa.2021.109334

  • Cross Ref:

    10.1016/j.jfa.2021.109334

  • ISSN:

    0022-1236

  • Funders:

    Historic Funder (pre-Worktribe)

Citation

Anderson, T. C., Cook, B., Hughes, K., & Kumchev, A. (2022). On the ergodic Waring–Goldbach problem. Journal of Functional Analysis, 282(5), Article 109334. https://doi.org/10.1016/j.jfa.2021.109334

Authors

Keywords

Circle method, Fourier analysis, Waring–Goldbach problem, Discrete maximal function

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