Geodesic
ESTIMATION OF SOME EXPONENTIAL SUM BY MEANS OF q-DEGREE
Glasgow mathematical journal, Tome 52 (2010) no. 2, pp. 315-324

Voir la notice de l'article provenant de la source Cambridge

DOI

In this paper, we improve results of Gillot, Kumar and Moreno to estimate some exponential sums by means of q-degrees. The method consists in applying suitable elementary transformations to see an exponential sum over a finite field as an exponential sum over a product of subfields in order to apply Deligne bound. In particular, we obtain new results on the spectral amplitude of some monomials. 
GILLOT, VALÉRIE; LANGEVIN, PHILIPPE. ESTIMATION OF SOME EXPONENTIAL SUM BY MEANS OF q-DEGREE. Glasgow mathematical journal, Tome 52 (2010) no. 2, pp. 315-324. doi: 10.1017/S0017089510000017
@article{10_1017_S0017089510000017,
     author = {GILLOT, VAL\'ERIE and LANGEVIN, PHILIPPE},
     title = {ESTIMATION {OF} {SOME} {EXPONENTIAL} {SUM} {BY} {MEANS} {OF} {q-DEGREE}},
     journal = {Glasgow mathematical journal},
     pages = {315--324},
     year = {2010},
     volume = {52},
     number = {2},
     doi = {10.1017/S0017089510000017},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000017/}
}
TY  - JOUR
AU  - GILLOT, VALÉRIE
AU  - LANGEVIN, PHILIPPE
TI  - ESTIMATION OF SOME EXPONENTIAL SUM BY MEANS OF q-DEGREE
JO  - Glasgow mathematical journal
PY  - 2010
SP  - 315
EP  - 324
VL  - 52
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000017/
DO  - 10.1017/S0017089510000017
ID  - 10_1017_S0017089510000017
ER  - 
%0 Journal Article
%A GILLOT, VALÉRIE
%A LANGEVIN, PHILIPPE
%T ESTIMATION OF SOME EXPONENTIAL SUM BY MEANS OF q-DEGREE
%J Glasgow mathematical journal
%D 2010
%P 315-324
%V 52
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000017/
%R 10.1017/S0017089510000017
%F 10_1017_S0017089510000017

Cité par Sources :