A mean value theorem for the square of class number times regulator of quadratic extensions
Abstract
Let $k$ be a number field. In this paper, we give a formula for the mean value of the square of class numbers times regulators 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 pair of quaternion algebras.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 October 2004
 DOI:
 10.48550/arXiv.math/0410531
 arXiv:
 arXiv:math/0410531
 Bibcode:
 2004math.....10531T
 Keywords:

 Mathematics  Number Theory;
 11M41
 EPrint:
 35 pages, AMS LaTeX