3 papers
math.CO2025
Spherical designs for finite quaternionic unit groups and their applications to modular forms
Masatake Hirao, Hiroshi Nozaki, Koji Tasaka
For a finite subset of the -dimensional unit sphere, the harmonic strength of is the set of such that for all harmonic…
math.CO2025
More on the corner-vector construction for spherical designs
Kenji Tanino, Tomoki Tamaru, Masatake Hirao +1
This paper explores a full generalization of the classical corner-vector method for constructing weighted spherical designs, which we call the {\it generalized corner-vector method…
math.PR2021
Finite frames, frame potentials and determinantal point processes on the sphere
Masatake Hirao
Herein, we address the expectations of frame potentials of three types of determinantal point processes(DPPs) on the d-dimensional unit sphere: (i) spherical ensembles on the 2-dim…