Yuka Yamaguchi

activity

20162026

most citedInteger circulant determinants of order 16

17 citations · 39 across the 18 of their papers we have counts for

collaborators

19 papers

math.RT2026

Group Permanents of Abelian $p$ -Groups and Young Diagrams

Naoya Yamaguchi, Yuka Yamaguchi

We study the number $\Nu(\Per(G_λ))$ of distinct monomials with nonzero coefficients in the group permanent of an abelian $p$ -group $G_{λ}$ associated with a partition $λ$ of a posit…

math.CA2026

Three-Term Recurrence Relations for Confluent Basic Hypergeometric Series with Applications to q-Bessel Functions

Yuka Yamaguchi

We establish three-term recurrence relations for the $_{1} ϕ_{1}$ and $_{0} ϕ_{1}$ basic hypergeometric series involving multiplicative shifts of the parameters and the variable by integ…

math.RT2025

Group Determinants and Invariant Rings

Yuka Yamaguchi, Naoya Yamaguchi

In the study of group determinants, Frobenius introduced certain partial differential operators. This paper presents several results concerning the invariant rings derived from the…

math.RT2025

First and Second Fundamental Theorems for Invariant Rings Generated by Circulant Determinants

Naoya Yamaguchi, Hiroyuki Ochiai, Yuka Yamaguchi

In this paper, we give the first and second fundamental theorems of invariant theory for certain invariant rings whose generators are expressed by circulant determinants.

math.NT2023

Wolstenholme primes and group determinants of cyclic groups

Cid Reyes-Bustos, Naoya Yamaguchi, Yuka Yamaguchi

A Wolstenholme prime is a prime number $p \geq 5$ that divides the numerator of the Bernoulli number $B_{p - 3}$ . A number of equivalent definitions for Wolstenholme primes are known…

math.NT2023

Integer group determinants for $C_{4} ⋊ C_{4}$

Yuka Yamaguchi, Naoya Yamaguchi

Let $C_{4}$ be the cyclic group of order $4$ . We determine all possible values of the integer group determinant of $C_{4} ⋊ C_{4}$ .

math.NT2023

Integer group determinants for $C_{2}^{2} ⋊ C_{4}$

Yuka Yamaguchi, Naoya Yamaguchi

For any positive integer $n$ , let $C_{n}$ be the cyclic group of order $n$ . We determine all possible values of the integer group determinant of ${\rm C}_{2}^{2} \rtimes C_{4…

math.ST2023

Inequality for the variance of an asymmetric loss

Naoya Yamaguchi, Yuka Yamaguchi, Maiya Hori

We assume that the forecast error follows a probability distribution which is symmetric and monotonically non-increasing on non-negative real numbers, and if there is a mismatch be…

math.NT2022★ 4 cited

Integer group determinants for abelian groups of order 16

Yuka Yamaguchi, Naoya Yamaguchi

For any positive integer $n$ , let $C_{n}$ be the cyclic group of order $n$ . We determine all possible values of the integer group determinant of ${\rm C}_{4} \times {\rm C}_{…

math.NT2022★ 2 cited

Integer group determinants for $C_{4}^{2}$

Yuka Yamaguchi, Naoya Yamaguchi

We determine all possible values of the integer group determinant of $C_{4}^{2}$ , where $C_{4}$ is the cyclic group of order $4$ .

math.NT2022

Integer group determinants for $C_{2}^{4}$

Yuka Yamaguchi, Naoya Yamaguchi

We determine all possible values of the integer group determinant of $C_{2}^{4}$ , where $C_{2}$ is the cyclic group of order $2$ .

math.NT2022★ 17 cited

Integer circulant determinants of order 16

Yuka Yamaguchi, Naoya Yamaguchi

We solve Olga Taussky-Todd's circulant problem in the case of order 16.

math.RT2022

Principal Specialization of Monomial Symmetric Polynomials and Group Determinants of Cyclic Groups

Naoya Yamaguchi, Yuka Yamaguchi, Genki Shibukawa

In this paper, we study the principal specialization of monomial symmetric polynomials and investigate the special values of these polynomials at \[ ζ_{(n,k)} := ( 1, ζ_n, ζ_n^2, \…

math.RT2022★ 3 cited

Generalized Dedekind's theorem and its application to integer group determinants

Naoya Yamaguchi, Yuka Yamaguchi

In this paper, we give a refinement of a generalized Dedekind's theorem. In addition, we show that all possible values of integer group determinants of any group are also possible…

math.RT2022★ 3 cited

Remark on Laquer's theorem for circulant determinants

Naoya Yamaguchi, Yuka Yamaguchi

Olga Taussky-Todd suggested the problem of determining the possible values of integer circulant determinants. To solve a special case of the problem, Laquer gave a factorization of…

math.ST2019★ 2 cited

Minimizing the expected value of the asymmetric loss and an inequality of the variance of the loss

Naoya Yamaguchi, Yuka Yamaguchi, Ryuei Nishii

For some estimations and predictions, we solve minimization problems with asymmetric loss functions. Usually, we estimate the coefficient of regression for these problems. In this…

math.RT2019★ 5 cited

Generalized group determinant gives a necessary and sufficient condition for a subset of a finite group to be a subgroup

Naoya Yamaguchi, Yuka Yamaguchi

We generalize the concept of the group determinant and prove a necessary and sufficient novel condition for a subset to be a subgroup. This development is based on the group determ…

cs.CG2016★ 1 cited

Geometric Dominating Set and Set Cover via Local Search

Minati De, Abhiruk Lahiri

In this paper, we study two classic optimization problems: minimum geometric dominating set and set cover. In the dominating-set problem, for a given set of objects in {the} plane…

math.RA2016★ 2 cited

Compositions of invertibility preserving maps for some monoids and their application to Clifford algebras

Naoya Yamaguchi, Yuka Yamaguchi

For some monoids, we give a method of composing invertibility preserving maps associated to "partial involutions." Also, we define the notion of "determinants for finite dimensiona…

Group Permanents of Abelian p-Groups and Young Diagrams

Three-Term Recurrence Relations for Confluent Basic Hypergeometric Series with Applications to q-Bessel Functions

Group Determinants and Invariant Rings

First and Second Fundamental Theorems for Invariant Rings Generated by Circulant Determinants

Wolstenholme primes and group determinants of cyclic groups

Integer group determinants for C4​⋊C4​

Integer group determinants for C22​⋊C4​

Inequality for the variance of an asymmetric loss

Integer group determinants for abelian groups of order 16

Integer group determinants for C42​

Integer group determinants for C24​

Integer circulant determinants of order 16

Principal Specialization of Monomial Symmetric Polynomials and Group Determinants of Cyclic Groups

Generalized Dedekind's theorem and its application to integer group determinants

Remark on Laquer's theorem for circulant determinants

Minimizing the expected value of the asymmetric loss and an inequality of the variance of the loss

Generalized group determinant gives a necessary and sufficient condition for a subset of a finite group to be a subgroup

Geometric Dominating Set and Set Cover via Local Search

Compositions of invertibility preserving maps for some monoids and their application to Clifford algebras

Group Permanents of Abelian $p$ -Groups and Young Diagrams

Integer group determinants for $C_{4} ⋊ C_{4}$

Integer group determinants for $C_{2}^{2} ⋊ C_{4}$

Integer group determinants for $C_{4}^{2}$

Integer group determinants for $C_{2}^{4}$