26 citations · 53 across the 13 of their papers we have counts for
13 papers
Maximal -distance sets containing the representation of the Johnson graph
Eiichi Bannai, Takahiro Sato, Junichi Shigezumi
We classify the maximal -distance sets in which contain the representation of the Johnson graph for . Furthermore, we determine the necess…
A new Euclidean tight 6-design
Eiichi Bannai, Etsuko Bannai, Junichi Shigezumi
We give a new example of Euclidean tight 6-design in .
Certain lattice neighboring from Barnes-Wall lattice and some laminated lattices
Junichi Shigezumi
We give classifications of integral lattices which include the Barnes-Wall lattice or laminated lattices of dimension and of minimum 4. Also,…
Spherical designs from norm-3 shell of integral lattices
Junichi Shigezumi
A set of vectors all of which have a constant (non-zero) norm value in an Euclidean lattice is called a shell of the lattice. Venkov classified strongly perfect lattices of minimum…
On 3-lattices and spherical designs
Junichi Shigezumi
An integral lattice which is generated by some vectors of norm is called -lattice. Classification of 3-lattices of dimension at most four is given by Mimura (On 3-lattice, 2…
A note on zeros of Eisenstein series for genus zero Fuchsian groups
Junichi Shigezumi
Let be a genus zero Fuchsian group of the first kind having as a cusp, and let be the holomorphic Eisenstein series associ…