Improved decoupling for the parabola

Larry Guth; Dominique Maldague; Hong Wang

doi:10.4171/JEMS/1295

Improved decoupling for the parabola

Larry Guth, Dominique Maldague, Hong Wang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove an .`²; L⁶/ decoupling inequality for the parabola with constant .log R/^c. In the appendix, we present an application to the sixth-order correlation of the integer solutions to x² C y² D m.

Original language	English (US)
Pages (from-to)	875-917
Number of pages	43
Journal	Journal of the European Mathematical Society
Volume	26
Issue number	3
DOIs	https://doi.org/10.4171/JEMS/1295
State	Published - 2024

Keywords

Decoupling

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.4171/JEMS/1295

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title = "Improved decoupling for the parabola",

abstract = "We prove an .`2; L6/ decoupling inequality for the parabola with constant .log R/c. In the appendix, we present an application to the sixth-order correlation of the integer solutions to x2 C y2 D m.",

keywords = "Decoupling",

author = "Larry Guth and Dominique Maldague and Hong Wang",

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year = "2024",

doi = "10.4171/JEMS/1295",

language = "English (US)",

volume = "26",

pages = "875--917",

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AU - Guth, Larry

AU - Maldague, Dominique

AU - Wang, Hong

PY - 2024

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AB - We prove an .`2; L6/ decoupling inequality for the parabola with constant .log R/c. In the appendix, we present an application to the sixth-order correlation of the integer solutions to x2 C y2 D m.

KW - Decoupling

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JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 3

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Improved decoupling for the parabola

Abstract

Keywords

ASJC Scopus subject areas

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