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

2022/07/03 by Brian J. Cook, Cook, Brian, Kevin S. Hughes +9
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical and Theoretical Analysis #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2207.01097

openalex publication_date 2022/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 does solution counting in older partial progress on Vinogradov's mean value theorem correspond to in Fourier decoupling theory.

Related

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