A. Munemasa

activity

20012026

most citedEquiangular lines in Euclidean spaces

96 citations · 292 across the 62 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.CO2026

On the spherical design properties of a $P$ - and $Q$ -polynomial association scheme

Jesse Lansdown, William J. Martin, Akihiro Munemasa +2

We show that the strength as a spherical design of the spherical embedding of a $P$ - and $Q$ -polynomial association scheme with at least three classes with respect to a $Q$ -polynom…

math.NT2026

The Minimal Absolute Value of Sums of Fifth Roots of Unity

Akihiro Munemasa, Guillermo Núñez Ponasso

We determine the minimal absolute value of a non-vanishing sum of $n$ fifth roots of unity chosen with repetition, and characterize the corresponding sums. As a function of $n$ , th…

math.CO2026

Sets of equiangular lines in dimension $18$ constructed from $A_{5}^{3} \oplus A_{1}^{4}$

Akihiro Munemasa, Ferenc Szöllősi, Kiyoto Yoshino

In 2023, Greaves, Syatriadi, and Yatsyna found a set of $57$ equiangular lines in $R^{18}$ , breaking the previous record. In 2025, Lin, Munemasa, Taniguchi, and Yoshino co…

On the spherical design properties of a P- and Q-polynomial association scheme

The Minimal Absolute Value of Sums of Fifth Roots of Unity

Sets of equiangular lines in dimension 18 constructed from A53​⊕A14​

On the spherical design properties of a $P$ - and $Q$ -polynomial association scheme

Sets of equiangular lines in dimension $18$ constructed from $A_{5}^{3} \oplus A_{1}^{4}$