Soit p un nombre premier suffisamment grand et un système non-dégénéré de formes linéaires sur en n variables. Nous obtenons une estimée non-triviale de la somme incomplète
Let p be a sufficiently large prime and a nondegenerate system of linear forms in n variables over . We establish a nontrivial estimate on the incomplete character sum
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@article{CRMATH_2010__348_3-4_115_0, author = {Bourgain, Jean and Chang, Mei-Chu}, title = {On a multilinear character sum of {Burgess}}, journal = {Comptes Rendus. Math\'ematique}, pages = {115--120}, publisher = {Elsevier}, volume = {348}, number = {3-4}, year = {2010}, doi = {10.1016/j.crma.2009.12.013}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2009.12.013/} }
TY - JOUR AU - Bourgain, Jean AU - Chang, Mei-Chu TI - On a multilinear character sum of Burgess JO - Comptes Rendus. Mathématique PY - 2010 SP - 115 EP - 120 VL - 348 IS - 3-4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2009.12.013/ DO - 10.1016/j.crma.2009.12.013 LA - en ID - CRMATH_2010__348_3-4_115_0 ER -
%0 Journal Article %A Bourgain, Jean %A Chang, Mei-Chu %T On a multilinear character sum of Burgess %J Comptes Rendus. Mathématique %D 2010 %P 115-120 %V 348 %N 3-4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2009.12.013/ %R 10.1016/j.crma.2009.12.013 %G en %F CRMATH_2010__348_3-4_115_0
Bourgain, Jean; Chang, Mei-Chu. On a multilinear character sum of Burgess. Comptes Rendus. Mathématique, Tome 348 (2010) no. 3-4, pp. 115-120. doi : 10.1016/j.crma.2009.12.013. http://archive.numdam.org/articles/10.1016/j.crma.2009.12.013/
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