Brian Cook
Discrete restriction estimates for forms in many variables
Cook, Brian; Hughes, Kevin; Palsson, Eyvindur
Authors
Kevin Hughes
Eyvindur Palsson
Abstract
We prove discrete restriction estimates for a broad class of hypersurfaces arising in seminal work of Birch. To do so, we use a variant of Bourgain’s arithmetic version of the Tomas–Stein method and Magyar’s decomposition of the Fourier transform of the indicator function of the integer points on a hypersurface.
Citation
Cook, B., Hughes, K., & Palsson, E. (2023). Discrete restriction estimates for forms in many variables. Proceedings of the Edinburgh Mathematical Society, 66(4), 923–939. https://doi.org/10.1017/s0013091523000366
Journal Article Type | Article |
---|---|
Online Publication Date | Sep 18, 2023 |
Publication Date | 2023-11 |
Deposit Date | Oct 17, 2023 |
Publicly Available Date | Oct 17, 2023 |
Print ISSN | 0013-0915 |
Electronic ISSN | 1464-3839 |
Publisher | Cambridge University Press |
Peer Reviewed | Peer Reviewed |
Volume | 66 |
Issue | 4 |
Pages | 923–939 |
DOI | https://doi.org/10.1017/s0013091523000366 |
Keywords | discrete restriction estimates, the circle method, Diophantine equations in many variables |
Public URL | http://researchrepository.napier.ac.uk/Output/3197993 |
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