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Cubic Fields with Index 2

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Abstract.

 Let d be a squarefree integer with allowed. If (mod 8) it is shown that there do not exist any cubic fields with index 2 whose splitting field contains . If (mod 8) it is shown that there exist infinitely many cubic fields with index 2 and minimal index 2 whose splitting field contains .

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Authors and Affiliations

  1.  Okanagan University College, Kelowna, B.C., Canada, , , , , , CA

    Blair K. Spearman

  2.  Carleton University, Ottawa, Ontario, Canada, , , , , , CA

    Kenneth S. Williams

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  1. Blair K. Spearman
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  2. Kenneth S. Williams
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(Received 23 May 2001)

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Spearman, B., Williams, K. Cubic Fields with Index 2. Mh Math 134, 331–336 (2002). https://doi.org/10.1007/s605-002-8266-y

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  • DOI: https://doi.org/10.1007/s605-002-8266-y

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