3 papers
math.NT1999
The mean vcalue of the product of class numbers of paired quadratic fields II
Anthony C. Kable, Akihiko Yukie
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…
math.NT1999
The mean vcalue of the product of class numbers of paired quadratic fields I
Anthony C. Kable, Akihiko Yukie
Let be a number field and a fixed quadratic extension of . In this paper and its companion, we find the mean value of the product of class numbers and regulators…
math.RT1997
Ratner's theorem and invariant theory
Akihiko Yukie
In this note, we consider applications of Ratner's theorem to constructions of families of polynomials with dense values on the set of primitive integer points from the viewpoint o…