On a comparison of Gauss sums with products of Lagrange resolvents
Brinkhuis, Jan
Compositio Mathematica, Tome 94 (1994), p. 155-170 / Harvested from Numdam
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Publié le : 1994-01-01
@article{CM_1994__93_2_155_0,
     author = {Brinkhuis, Jan},
     title = {On a comparison of Gauss sums with products of Lagrange resolvents},
     journal = {Compositio Mathematica},
     volume = {94},
     year = {1994},
     pages = {155-170},
     mrnumber = {1287695},
     zbl = {0821.11056},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1994__93_2_155_0}
}

Brinkhuis, Jan. On a comparison of Gauss sums with products of Lagrange resolvents. Compositio Mathematica, Tome 94 (1994) pp. 155-170. http://gdmltest.u-ga.fr/item/CM_1994__93_2_155_0/

[B] Brinkhuis, J., Normal integral bases and complex conjugation, J. Reine angew. Math. 375376 (1987), 157-166. | MR 882295 | Zbl 0609.12009

[B-S] Borevich, Z. and Shafarevich, I., Number Theory, Academic Press: London and New York, 1966. | MR 195803 | Zbl 0145.04902

[C] Cougnard, J., Quelques extension modérément ramifiées sans base normale, J. London Math. Soc. 31 (1985), 200-204. | MR 809940 | Zbl 0574.12007

[F] Fröhlich, A., Galois module structure of algebraic integers, Ergebnisse Math. Vol. 1, Springer 1983. | MR 717033 | Zbl 0501.12012

[G] Greither, C., Relative integral normal bases in Q(ζ p), J. Number Theory, Vol. 35, No. 2 (1990), 180-193. | Zbl 0718.11053

[H] Hellegouarch, Y. et Toffin, P., Nombres exceptionnels attachés aux corps cyclotomiques, Séminaire de théorie des Nombres de l'Université de Caen (1987-1989), Exposé IV.

[L] Loxton, J.H., Products related to Gauss sums, J. Reine angew. Math. 268/269 (1974), 53-67. | MR 344205 | Zbl 0293.10019

[T] Taylor, M., Classgroups of group rings, LMS Lecture Notes Series 91 (1984). | MR 748670 | Zbl 0597.13002

[Wa] Washington, L.C., Introduction to Cyclotomic Fields, Graduate texts in Math. 83 (1980). | Zbl 0966.11047

[We] Weil, A., Sommes de Jacobi et caractères de Hecke, Collected papers, Volume III, 329-342 (1980).