Hiroshi Nozaki

activity

20062022

most citedOn the zeros of Eisenstein series for

Γ_{0}^{*} (2)

and

Γ_{0}^{*} (3)

26 citations · 26 across the 3 of their papers we have counts for

collaborators

5 papers

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.MG2020

A proof of a Dodecahedron conjecture for distance sets

Hiroshi Nozaki, Masashi Shinohara

A finite subset of a Euclidean space is called an $s$ -distance set if there exist exactly $s$ values of the Euclidean distances between two distinct points in the set. In this pape…

math.CO2019

Maximal $2$ -distance sets containing the regular simplex

Hiroshi Nozaki, Masashi Shinohara

A finite subset $X$ of the Euclidean space is called an $m$ -distance set if the number of distances between two distinct points in $X$ is equal to $m$ . An $m$ -distance set $X$ is s…

math.CO2018

A spectral version of the Moore problem for bipartite regular graphs

Sebastian M. Cioabă, Jack H. Koolen, Hiroshi Nozaki

Let $b (k, θ)$ be the maximum order of a connected bipartite $k$ -regular graph whose second largest eigenvalue is at most $θ$ . In this paper, we obtain a general upper bound for $b(k…

math.NT2006★ 26 cited

On the zeros of Eisenstein series for $Γ_{0}^{} (2)$ and $Γ_{0}^{} (3)$

Tsuyoshi Miezaki, Hiroshi Nozaki, Junichi Shigezumi

We locate all of the zeros of the Eisenstein series associated with the Fricke groups $Γ_{0}^{*} (2)$ and $Γ_{0}^{*} (3)$ in their fundamental domains by applying and expanding the metho…

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

A proof of a Dodecahedron conjecture for distance sets

Maximal 2-distance sets containing the regular simplex

A spectral version of the Moore problem for bipartite regular graphs

On the zeros of Eisenstein series for Γ0∗​(2) and Γ0∗​(3)

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

Maximal $2$ -distance sets containing the regular simplex

On the zeros of Eisenstein series for $Γ_{0}^{} (2)$ and $Γ_{0}^{} (3)$