On the exponent of the ideal class groups of imaginary extensions of q ( x )

Hershy Kisilevsky; Francesco Pappalardi

Acta Arithmetica (1995)

  • Volume: 72, Issue: 4, page 311-321
  • ISSN: 0065-1036

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Hershy Kisilevsky, and Francesco Pappalardi. "On the exponent of the ideal class groups of imaginary extensions of $_q(x)$." Acta Arithmetica 72.4 (1995): 311-321. <http://eudml.org/doc/206798>.

@article{HershyKisilevsky1995,
author = {Hershy Kisilevsky, Francesco Pappalardi},
journal = {Acta Arithmetica},
keywords = {Chebotarev density theorem; exponent of the ideal class group; function field; imaginary quadratic extension},
language = {eng},
number = {4},
pages = {311-321},
title = {On the exponent of the ideal class groups of imaginary extensions of $_q(x)$},
url = {http://eudml.org/doc/206798},
volume = {72},
year = {1995},
}

TY - JOUR
AU - Hershy Kisilevsky
AU - Francesco Pappalardi
TI - On the exponent of the ideal class groups of imaginary extensions of $_q(x)$
JO - Acta Arithmetica
PY - 1995
VL - 72
IS - 4
SP - 311
EP - 321
LA - eng
KW - Chebotarev density theorem; exponent of the ideal class group; function field; imaginary quadratic extension
UR - http://eudml.org/doc/206798
ER -

References

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  1. [1] D. W. Boyd and H. Kisilevsky, On the exponent of the ideal class groups of complex quadratic fields, Proc. Amer. Math. Soc. 31 (1972), 433-436. Zbl0252.12002
  2. [2] M. D. Fried and M. Jarden, Field Arithmetic, Springer, 1986. 
  3. [3] V. K. Murty and J. Scherk, Effective versions of the Chebotarev density theorem for function fields, C. R. Acad. Sci. Paris Sér. I 319 (1994), 523-528. Zbl0822.11077
  4. [4] F. Pappalardi, On the exponent of the ideal class group of ℚ(√-d), Proc. Amer. Math. Soc., to appear. Zbl0833.11053

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