On a comparison of Gauss sums with products of Lagrange resolvents
Compositio Mathematica, Tome 93 (1994) no. 2, pp. 155-170.
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     author = {Brinkhuis, Jan},
     title = {On a comparison of {Gauss} sums with products of {Lagrange} resolvents},
     journal = {Compositio Mathematica},
     pages = {155--170},
     publisher = {Kluwer Academic Publishers},
     volume = {93},
     number = {2},
     year = {1994},
     mrnumber = {1287695},
     zbl = {0821.11056},
     language = {en},
     url = {http://www.numdam.org/item/CM_1994__93_2_155_0/}
}
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Brinkhuis, Jan. On a comparison of Gauss sums with products of Lagrange resolvents. Compositio Mathematica, Tome 93 (1994) no. 2, pp. 155-170. http://www.numdam.org/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 | Zbl

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

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

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

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

[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 | Zbl

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

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

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