On restriction estimates for discrete quadratic surfaces

Kevin Hughes; Kevin Henriot

doi:10.1093/imrn/rnx255

On restriction estimates for discrete quadratic surfaces

Kevin Hughes, Kevin Henriot

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Abstract

We obtain truncated restriction estimates of an unexpected form for dis-
crete surfaces
S_N = \{ (n_1,...,n_d,R(n_1,...,n_d)) : n_i \in [-N,N] \cap \ZZ \}
where R is an indefinite quadratic form with integer matrix.

Original language	English
Pages (from-to)	7139–7159
Number of pages	19
Journal	International Mathematics Research Notices
Volume	2019
Issue number	23
Early online date	3 Feb 2018
DOIs	https://doi.org/10.1093/imrn/rnx255
Publication status	Published - Dec 2019

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title = "On restriction estimates for discrete quadratic surfaces",

abstract = "We obtain truncated restriction estimates of an unexpected form for dis-crete surfacesS_N = \{ (n_1,...,n_d,R(n_1,...,n_d)) : n_i \in [-N,N] \cap \ZZ \}where R is an indefinite quadratic form with integer matrix.",

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AU - Hughes, Kevin

AU - Henriot, Kevin

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N2 - We obtain truncated restriction estimates of an unexpected form for dis-crete surfacesS_N = \{ (n_1,...,n_d,R(n_1,...,n_d)) : n_i \in [-N,N] \cap \ZZ \}where R is an indefinite quadratic form with integer matrix.

AB - We obtain truncated restriction estimates of an unexpected form for dis-crete surfacesS_N = \{ (n_1,...,n_d,R(n_1,...,n_d)) : n_i \in [-N,N] \cap \ZZ \}where R is an indefinite quadratic form with integer matrix.

U2 - 10.1093/imrn/rnx255

DO - 10.1093/imrn/rnx255

M3 - Article (Academic Journal)

SN - 1073-7928

VL - 2019

SP - 7139

EP - 7159

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 23

ER -

On restriction estimates for discrete quadratic surfaces

Abstract

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