Multidimensional Vinogradov-type Estimates in Function Fields
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Date
2014
Authors
Kuo, Wentang
Liu, Yu-Ru
Zhao, Xiaomei
Advisor
Journal Title
Journal ISSN
Volume Title
Publisher
Cambridge University Press
Abstract
Let Fq[t] denote the polynomial ring over the finite field Fq. We employ Wooley’s new efficient congruencing method to prove certain multidimensional Vinogradov-type estimates in Fq[t]. These results allow us to apply a variant of the circle method to obtain asymptotic formulas for a system connected to the problem about linear spaces lying on hypersurfaces defined over Fq[t].
Description
This article has been published in a revised form in the Canadian Journal of Mathematics https://doi.org/10.4153/CJM-2013-014-9. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. Copyright © Canadian Mathematical Society 2014.
Keywords
Vinogradov's mean value theorem, function fields, circle method