Research Output
A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem
  We interpret into decoupling language a refinement of a 1973 argument due to Karatsuba on Vinogradov's mean value theorem. The main goal of our argument is to answer what precisely solution counting in older partial progress on Vinogradov's mean value theorem corresponds to in Fourier decoupling theory.

  • Type:

    Article

  • Date:

    12 November 2023

  • Publication Status:

    Published

  • Publisher

    Wiley

  • DOI:

    10.1112/mtk.12231

  • ISSN:

    0025-5793

  • Funders:

    National Science Foundation; Engineering and Physical Sciences Research Council; Australian Research Council; American Institute of Mathematics

Citation

Cook, B., Hughes, K., Li, Z. K., Mudgal, A., Robert, O., & Yung, P. (2024). A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem. Mathematika, 70(1), Article e12231. https://doi.org/10.1112/mtk.12231

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