Multidimensional Vinogradov-type Estimates in Function Fields
Canadian journal of mathematics, Tome 66 (2014) no. 4, pp. 844-873
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Let ${{\mathbb{F}}_{q}}\left[ t \right]$ denote the polynomial ring over the finite field ${{\mathbb{F}}_{q}}$ . We employ Wooley's new efficient congruencing method to prove certain multidimensional Vinogradov-type estimates in ${{\mathbb{F}}_{q}}\left[ t \right]$ . 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 ${{\mathbb{F}}_{q}}\left[ t \right]$ .
Kuo, Wentang; Liu, Yu-Ru; Zhao, Xiaomei. Multidimensional Vinogradov-type Estimates in Function Fields. Canadian journal of mathematics, Tome 66 (2014) no. 4, pp. 844-873. doi: 10.4153/CJM-2013-014-9
@article{10_4153_CJM_2013_014_9,
author = {Kuo, Wentang and Liu, Yu-Ru and Zhao, Xiaomei},
title = {Multidimensional {Vinogradov-type} {Estimates} in {Function} {Fields}},
journal = {Canadian journal of mathematics},
pages = {844--873},
year = {2014},
volume = {66},
number = {4},
doi = {10.4153/CJM-2013-014-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2013-014-9/}
}
TY - JOUR AU - Kuo, Wentang AU - Liu, Yu-Ru AU - Zhao, Xiaomei TI - Multidimensional Vinogradov-type Estimates in Function Fields JO - Canadian journal of mathematics PY - 2014 SP - 844 EP - 873 VL - 66 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2013-014-9/ DO - 10.4153/CJM-2013-014-9 ID - 10_4153_CJM_2013_014_9 ER -
%0 Journal Article %A Kuo, Wentang %A Liu, Yu-Ru %A Zhao, Xiaomei %T Multidimensional Vinogradov-type Estimates in Function Fields %J Canadian journal of mathematics %D 2014 %P 844-873 %V 66 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2013-014-9/ %R 10.4153/CJM-2013-014-9 %F 10_4153_CJM_2013_014_9
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