Nous donnons des formules asymptotiques pour le nombre d’extensions cycliques quartiques d’un corps de nombres général.
In this paper, we give asymptotic formulas for the number of cyclic quartic extensions of a number field.
@article{JTNB_2005__17_2_475_0,
author = {Cohen, Henri and Diaz y Diaz, Francisco and Olivier, Michel},
title = {Counting cyclic quartic extensions of a number field},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {475--510},
publisher = {Universit\'e Bordeaux 1},
volume = {17},
number = {2},
year = {2005},
doi = {10.5802/jtnb.503},
zbl = {1090.11068},
mrnumber = {2211303},
language = {en},
url = {http://www.numdam.org/articles/10.5802/jtnb.503/}
}
TY - JOUR AU - Cohen, Henri AU - Diaz y Diaz, Francisco AU - Olivier, Michel TI - Counting cyclic quartic extensions of a number field JO - Journal de théorie des nombres de Bordeaux PY - 2005 SP - 475 EP - 510 VL - 17 IS - 2 PB - Université Bordeaux 1 UR - http://www.numdam.org/articles/10.5802/jtnb.503/ DO - 10.5802/jtnb.503 LA - en ID - JTNB_2005__17_2_475_0 ER -
%0 Journal Article %A Cohen, Henri %A Diaz y Diaz, Francisco %A Olivier, Michel %T Counting cyclic quartic extensions of a number field %J Journal de théorie des nombres de Bordeaux %D 2005 %P 475-510 %V 17 %N 2 %I Université Bordeaux 1 %U http://www.numdam.org/articles/10.5802/jtnb.503/ %R 10.5802/jtnb.503 %G en %F JTNB_2005__17_2_475_0
Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel. Counting cyclic quartic extensions of a number field. Journal de théorie des nombres de Bordeaux, Tome 17 (2005) no. 2, pp. 475-510. doi : 10.5802/jtnb.503. http://www.numdam.org/articles/10.5802/jtnb.503/
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