On a comparison of Gauss sums with products of Lagrange resolvents

Jan Brinkhuis

Compositio Mathematica (1994)

  • Volume: 93, Issue: 2, page 155-170
  • ISSN: 0010-437X

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Brinkhuis, Jan. "On a comparison of Gauss sums with products of Lagrange resolvents." Compositio Mathematica 93.2 (1994): 155-170. <http://eudml.org/doc/90319>.

@article{Brinkhuis1994,
author = {Brinkhuis, Jan},
journal = {Compositio Mathematica},
keywords = {Gauss sums; generalized norm resolvents; Jacobi sums},
language = {eng},
number = {2},
pages = {155-170},
publisher = {Kluwer Academic Publishers},
title = {On a comparison of Gauss sums with products of Lagrange resolvents},
url = {http://eudml.org/doc/90319},
volume = {93},
year = {1994},
}

TY - JOUR
AU - Brinkhuis, Jan
TI - On a comparison of Gauss sums with products of Lagrange resolvents
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 93
IS - 2
SP - 155
EP - 170
LA - eng
KW - Gauss sums; generalized norm resolvents; Jacobi sums
UR - http://eudml.org/doc/90319
ER -

References

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  1. [B] Brinkhuis, J., Normal integral bases and complex conjugation, J. Reine angew. Math.375376 (1987), 157-166. Zbl0609.12009MR882295
  2. [B-S] Borevich, Z. and Shafarevich, I., Number Theory, Academic Press: London and New York, 1966. Zbl0145.04902MR195803
  3. [C] Cougnard, J., Quelques extension modérément ramifiées sans base normale, J. London Math. Soc.31 (1985), 200-204. Zbl0574.12007MR809940
  4. [F] Fröhlich, A., Galois module structure of algebraic integers, Ergebnisse Math. Vol. 1, Springer1983. Zbl0501.12012MR717033
  5. [G] Greither, C., Relative integral normal bases in Q(ζ p), J. Number Theory, Vol. 35, No. 2 (1990), 180-193. Zbl0718.11053
  6. [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. 
  7. [L] Loxton, J.H., Products related to Gauss sums, J. Reine angew. Math.268/269 (1974), 53-67. Zbl0293.10019MR344205
  8. [T] Taylor, M., Classgroups of group rings, LMS Lecture Notes Series91 (1984). Zbl0597.13002MR748670
  9. [Wa] Washington, L.C., Introduction to Cyclotomic Fields, Graduate texts in Math.83 (1980). Zbl0966.11047
  10. [We] Weil, A., Sommes de Jacobi et caractères de Hecke, Collected papers, Volume III, 329-342 (1980). 

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