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Small cap
decoupling for the moment curve in $\mathbb{R}^3$
Larry Guth and Dominique Maldague |
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Vol. 17 (2024), No. 10, 3551–3588
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Abstract |
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We prove sharp small cap decoupling estimates for the moment curve in . Our formulation of the small caps is motivated by a conjecture of Demeter, Guth, and Wang about estimates for exponential sums. |
Keywords
exponential sum estimates, decoupling inequalities, moment
curve
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Mathematical Subject Classification
Primary: 42B10
Secondary: 11L07, 53A04
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Milestones
Received: 19 July 2022
Revised: 21 April 2023
Accepted: 18 July 2023
Published: 21 November 2024
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Authors |
| Larry Guth | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
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| Dominique Maldague | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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