A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem

Brian Cook, Kevin Hughes, Zane Kun Li*, Akshat Mudgal, Olivier Robert, Po Lam Yung

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    Abstract

    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.

    Original languageEnglish
    Article numbere12231
    JournalMathematika
    Volume70
    Issue number1
    DOIs
    Publication statusPublished - 12 Dec 2023

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