A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem
Classical Analysis and ODEs
2023-10-13 v2 Number Theory
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.
Keywords
Cite
@article{arxiv.2207.01097,
title = {A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem},
author = {Brian Cook and Kevin Hughes and Zane Kun Li and Akshat Mudgal and Olivier Robert and Po-Lam Yung},
journal= {arXiv preprint arXiv:2207.01097},
year = {2023}
}
Comments
25 pages; revised version incorporating referee comments, to appear in Mathematika