The mean vcalue of the product of class numbers of paired quadratic fields II

Details The mean vcalue of the product of class numbers of paired quadratic fields II The mean vcalue of the product of class numbers of paired quadratic fields II

1999-06-25

arxiv.org/abs/math/9906175v1

Mathematics

Number Theory

27 pages

Scientific paper

This is the second part of a two part paper. In this part, we evaluate the previously unevaluated local densities at dyadic places which appear in the density theorem stated in the first part. For this part, we introduce an invariant, the level, attaced to a pair of ramified quadratic extensions of a dyadic local field. This invariant measures how close two fields are in their arithmetic properties and may be of interest independent of its application here.

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