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Near-optimal mean value estimates for multidimensional Weyl sums

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Parsell, S. T., Prendiville, S. M. and Wooley, T. D. (2013) Near-optimal mean value estimates for multidimensional Weyl sums. Geometric and Functional Analysis, 23 (6). pp. 1962-2024. ISSN 1420-8970 doi: 10.1007/s00039-013-0242-7

Abstract/Summary

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.

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Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/33219
Identification Number/DOI 10.1007/s00039-013-0242-7
Refereed Yes
Divisions No Reading authors. Back catalogue items
Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher Springer
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