Masatake Hirao

collaborators

2 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 $X$ of the $d$ -dimensional unit sphere, the harmonic strength $T (X)$ of $X$ is the set of $ℓ \in N$ such that $\sum_{x \in X} P (x) = 0$ 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…