A mean value theorem for the square of class number times regulator of quadratic extensions
نویسندگان
چکیده
منابع مشابه
A mean value theorem for the square of class number times regulator of quadratic extensions
Let k be a number field. In this paper, we give a formula for the mean value of the square of class number times regulator for certain families of quadratic extensions of k characterized by finitely many local conditions. We approach this by using the theory of the zeta function associated with the space of pairs of quaternion algebras. We also prove an asymptotic formula of the correlation coe...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2008
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.2363