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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.CO2023
Spherical designs and modular forms of the lattice
Masatake Hirao, Hiroshi Nozaki, Koji Tasaka
In this paper, we study shells of the lattice with a {slight generalization} of spherical -designs due to Delsarte-Goethals-Seidel, namely, the spherical design of harmoni…