In this paper, we give asymptotic formulas for the number of cyclic quartic extensions of a number field.
Nous donnons des formules asymptotiques pour le nombre d’extensions cycliques quartiques d’un corps de nombres général.
@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://archive.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://archive.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://archive.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, Volume 17 (2005) no. 2, pp. 475-510. doi : 10.5802/jtnb.503. http://archive.numdam.org/articles/10.5802/jtnb.503/
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