Hiroshi Nozaki

activity

20062025

most citedOn the zeros of Eisenstein series for

Γ_{0}^{*} (2)

and

Γ_{0}^{*} (3)

26 citations · 53 across the 32 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.CO2022

Embedding dimensions of matrices whose entries are indefinite distances in the pseudo-Euclidean space

Hiroshi Nozaki, Masashi Shinohara, Sho Suda

A finite set of the Euclidean space is called an $s$ -distance set provided the number of Euclidean distances in the set is $s$ . Determining the largest possible $s$ -distance set fo…

math.CO2022

Rationality of the inner products of spherical $s$ -distance $t$ -designs for $t \geq 2 s - 2$ , $s \geq 3$

Peter Boyvalenkov, Hiroshi Nozaki, Navid Safaei

We prove that the inner products of spherical $s$ -distance $t$ -designs with $t \geq 2 s - 2$ (Delsarte codes) and $s \geq 3$ are rational with the only exception being the icosahedron…

math.MG2022

Bounds for sets with few distances distinct modulo a prime ideal

Hiroshi Nozaki

Let $O_{K}$ be the ring of integers of an algebraic number field $K$ embedded into $C$ . Let $X$ be a subset of the Euclidean space $R^{d}$ , and $D (X)$ be th…

Embedding dimensions of matrices whose entries are indefinite distances in the pseudo-Euclidean space

Rationality of the inner products of spherical s-distance t-designs for t≥2s−2, s≥3

Bounds for sets with few distances distinct modulo a prime ideal

Rationality of the inner products of spherical $s$ -distance $t$ -designs for $t \geq 2 s - 2$ , $s \geq 3$