Journal article
A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 341.7KB, Terms of use)
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- Publisher copy:
- 10.1112/mtk.12231
Authors
- Publisher:
- Wiley
- Journal:
- Mathematika More from this journal
- Volume:
- 70
- Issue:
- 1
- Article number:
- e12231
- Publication date:
- 2023-11-12
- Acceptance date:
- 2023-10-12
- DOI:
- EISSN:
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2041-7942
- ISSN:
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0025-5793
- Language:
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English
- Keywords:
- Pubs id:
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1568862
- Local pid:
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pubs:1568862
- Deposit date:
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2024-06-28
- ARK identifier:
Terms of use
- Copyright holder:
- Cook et al.
- Copyright date:
- 2023
- Rights statement:
- © 2023 The Authors. Mathematika is copyright © University College London and published by the London Mathematical Society on behalf of University College London. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
- Licence:
- CC Attribution (CC BY)
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