Geodesic
Partial Gaussian sums III
Glasgow mathematical journal, Tome 34 (1992) no. 2, pp. 253-261

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

For integers a, N and H > 0 writewhere κ denotes a non-principal Dirichlet character modulo the positive integer k and e(y) denotes e2πiy. By a well-known generalisation of the Póya–Vinogradov inequality 
Burgess, D. A. Partial Gaussian sums III. Glasgow mathematical journal, Tome 34 (1992) no. 2, pp. 253-261. doi: 10.1017/S001708950000879X
@article{10_1017_S001708950000879X,
     author = {Burgess, D. A.},
     title = {Partial {Gaussian} sums {III}},
     journal = {Glasgow mathematical journal},
     pages = {253--261},
     year = {1992},
     volume = {34},
     number = {2},
     doi = {10.1017/S001708950000879X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950000879X/}
}
TY  - JOUR
AU  - Burgess, D. A.
TI  - Partial Gaussian sums III
JO  - Glasgow mathematical journal
PY  - 1992
SP  - 253
EP  - 261
VL  - 34
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S001708950000879X/
DO  - 10.1017/S001708950000879X
ID  - 10_1017_S001708950000879X
ER  - 
%0 Journal Article
%A Burgess, D. A.
%T Partial Gaussian sums III
%J Glasgow mathematical journal
%D 1992
%P 253-261
%V 34
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S001708950000879X/
%R 10.1017/S001708950000879X
%F 10_1017_S001708950000879X

[1] 1.Burgess, D. A., ‘On character sums and L-series II’, Proc London Math Soc (3) 13 (1963) 524–536. Google Scholar | DOI

[2] 2.Burgess, D. A., ‘Estimation of character sums modulo a power of a prime’, Proc London Math Soc (3) 52 (1986) 215–235. Google Scholar | DOI

[3] 3.Burgess, D. A., ‘The character sum estimate with r = 3 J London Math Soc (2) 33 (1986) 219–226. Google Scholar | DOI

[4] 4.Burgess, D. A., ‘Partial Gaussian sums’, Bull London Math Soc 20 (1988) 589–592. Google Scholar | DOI

[5] 5.Burgess, D. A., ‘Partial Gaussian sums II’, Bull London Math Soc 21 (1989), 153–158. Google Scholar | DOI

[6] 6.Burgess, D. A., ‘On a set of congruences related to character sums III’, to be published in J. London Math. Soc. Google Scholar

[7] 7.Schmidt, W. M., Equations over finite fields. An elementary approach, Lecture Notes in Mathematics 536 (Springer Verlag 1976). Google Scholar | DOI

[8] 8.Vinogradov, A. I., ‘On the symmetry property of sums with Dirichlet characters’ (Russian), Izv Akad Nauk UzSSR Ser Fiz-Mat Nauk 9 (1965) 21–27. Google Scholar

Cité par Sources :