3 citations · 3 across the 7 of their papers we have counts for
4 papers · 1 filter
Algebraic proof of explicit formulas of basic relative invariants of homogeneous cones
Hideto Nakashima
The aim of this paper is to give another proof to a result on the image of a homogeneous quadratic map which is positive with respect to a homogeneous cone, given by Graczyk and Is…
Completion of local zeta functions associated with a certain class of homogeneous cones
Hideto Nakashima
It is well known that the Riemann zeta function can be completed to the Riemann xi function in the sense that its functional equation has a higher symmetric form $ξ(1-s)=ξ(s…
Analysis on Lambert-Tsallis functions
Hideto Nakashima, Piotr Graczyk
In this paper, we study the Lambert-Tsallis function, which is a generalization of the Lambert function with two real parameters. We give a condition on the parameters such that th…
Wigner and Wishart Ensembles for graphical models
Hideto Nakashima, Piotr Graczyk
Vinberg cones and the ambient vector spaces are important in modern statistics of sparse models and of graphical models. The aim of this paper is to study eigenvalue distributions…