1 citations · 1 across the 3 of their papers we have counts for
4 papers
On proportional constants of the mean value of class numbers of quadratic extensions
Takashi Taniguchi
In this article, we slightly refine the mean value theorem for the class number of quadratic extensions obtained by Goldfeld-Hoffstein and Datskovsky. We determine all the proporti…
A mean value theorem for the square of class number times regulator of quadratic extensions
Takashi Taniguchi
Let 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 c…
On the zeta functions of prehomogeneous vector spaces for pair of simple algebras
Takashi Taniguchi
In this paper, we consider the prehomogeneous vector space for pair of simple algebras which are -forms of the type and the type. We mainly study the non-split cases…
A mean value theorem for orders of degree zero divisor class groups of quadratic extensions over a function field
Takashi Taniguchi
Let be a function field of one variable over a finite field with the characteristic not equal to two. In this paper, we consider the prehomogeneous representation of the space…