On proportional constants of the mean value of class numbers of quadratic extensions

• Autores: Takashi Taniguchi
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 359, Nº 11, 2007, págs. 5517-5524
• Idioma: inglés
• DOI: 10.1090/s0002-9947-07-04221-3
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• Resumen

  • In this article, we give a refinement of the mean value theorem for the class number of quadratic extensions obtained by Goldfeld-Hoffstein and Datskovsky. More specifically, we determine the proportional constants of the mean value for fields that satisfy any local conditions including wild ramification at places dividing .