Dirichlet series associated to cubic fields with given quadratic resolvent

Article, Preprint, Other literature type English OPEN
Cohen, Henri; Thorne, Frank; (2013)
  • Publisher: University of Michigan
  • Journal: issn: 0026-2285
  • Related identifiers: doi: 10.1307/mmj/1401973050
  • Subject: 11R29 | [ MATH.MATH-NT ] Mathematics [math]/Number Theory [math.NT] | 11R37 | 11R16 | Mathematics - Number Theory | 11Y40

International audience; Let k be a quadratic field. We give an explicit formula for the Dirichlet series enumerating cubic fields whose quadratic resolvent field is isomorphic to k. Our work is a sequel to previous work of Cohen and Morra, where such formulas are proved... View more
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