Parsell, Scott T. and Prendiville, Sean and Wooley, Trevor D. (2013) Near-optimal mean value estimates for multidimensional Weyl sums. Geom. Funct. Anal., 23 (6). 1962–2024.
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Official URL: https://doi.org/10.1007/s00039-013-0242-7
Abstract
We obtain sharp estimates for multidimensional generalisations of Vinogradov’s mean value theorem for arbitrary translation-dilation invariant systems, achieving constraints on the number of variables approaching those conjectured to be the best possible. Several applications of our bounds are discussed.
Item Type:
Journal Article
Journal or Publication Title:
Geom. Funct. Anal.
Departments:
ID Code:
137149
Deposited By:
Deposited On:
01 Oct 2019 08:10
Refereed?:
Yes
Published?:
Published
Last Modified:
18 Sep 2023 01:40