A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem-Reference-Cited by-同舟云学术

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

Published:2023-11-12 Issue:1 Volume:70 Page:
ISSN:0025-5793
Container-title:Mathematika
language:en
Short-container-title:Mathematika

Author:

Cook Brian¹,Hughes Kevin²³^ORCID,Li Zane Kun⁴^ORCID,Mudgal Akshat⁵^ORCID,Robert Olivier⁶,Yung Po‐Lam⁷^ORCID

Affiliation:

1. Department of Mathematics Virginia Tech Blacksburg Virginia USA

2. School of Mathematics The University of Bristol Bristol UK

3. Heilbronn Institute for Mathematical Research Bristol UK

4. Department of Mathematics North Carolina State University Raleigh North Carolina USA

5. Mathematical Institute University of Oxford Oxford UK

6. Université de Lyon Université de Saint‐Étienne, CNRS UMR 5208, Institut Camille Jordan Saint‐Étienne France

7. Mathematical Sciences Institute Australian National University Canberra ACT Australia

Abstract

AbstractWe 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.

Funder

Engineering and Physical Sciences Research Council

National Science Foundation

Australian Research Council

American Institute of Mathematics

Publisher

Wiley

Subject

General Mathematics

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/mtk.12231

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4. Bounds on Oscillatory Integral Operators Based on Multilinear Estimates

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