Geodesic
Estimates of Character Sums in Finite Fields
Matematičeskie zametki, Tome 88 (2010) no. 4, pp. 529-542

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove analogs of the Burgess estimates for character sums over $n$-dimensional segments in the field $\mathbb F_{p^n}$.
Keywords: multiplicative character, character sum, Burgess estimate, finite field, polar lattice, Weil estimate, Hölder's inequality. 
@article{MZM_2010_88_4_a4,
     author = {S. V. Konyagin},
     title = {Estimates of {Character} {Sums} in {Finite} {Fields}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {529--542},
     publisher = {mathdoc},
     volume = {88},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_4_a4/}
}
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S. V. Konyagin. Estimates of Character Sums in Finite Fields. Matematičeskie zametki, Tome 88 (2010) no. 4, pp. 529-542. http://geodesic.mathdoc.fr/item/MZM_2010_88_4_a4/