64 citations · 114 across the 16 of their papers we have counts for
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math.NT2006★ 1 cited
Distributions of discriminants of cubic algebras II
Takashi Taniguchi
Let be a number field and the ring of integers. In the previous paper [T06] we study the Dirichlet series counting discriminants of cubic algebras of and derive some de…
math.NT2006
On parameterizations of rational orbits of some forms of prehomogeneous vector spaces
Takashi Taniguchi
In this paper, we consider the structure of rational orbit of some prehomogeneous vector spaces originally motivated by Wright and Yukie. After we give a refinement of Wright-Yukie…
math.NT2006★ 11 cited
Distributions of discriminants of cubic algebras
Takashi Taniguchi
We study the space of binary cubic and quadratic forms over the ring of integers of an algebraic number field . By applying the theory of prehomogeneous vector spaces founde…