Zobrazeno 1 - 10
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pro vyhledávání: '"Yamaguchi, Yuka"'
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, mostly related to congruences of harmonic sums or binomial coefficie
Externí odkaz:
http://arxiv.org/abs/2311.00010
Autor:
Yamaguchi, Yuka, Yamaguchi, Naoya
We give a necessary and sufficient condition for a prime to be an integer group determinant for an arbitrary abelian $p$-group of the form ${\rm C}_{p} \times H$, where ${\rm C}_{p}$ is the cyclic group of order $p$. Also, we show that under certain
Externí odkaz:
http://arxiv.org/abs/2310.02297
Autor:
Yamaguchi, Yuka, Yamaguchi, Naoya
Let ${\rm C}_{4}$ be the cyclic group of order $4$. We determine all possible values of the integer group determinant of ${\rm C}_{4} \rtimes {\rm C}_{4}$.
Comment: arXiv admin note: text overlap with arXiv:2303.08489
Comment: arXiv admin note: text overlap with arXiv:2303.08489
Externí odkaz:
http://arxiv.org/abs/2303.13189
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 between observed and predicted value, then we suffer a loss. Under the a
Externí odkaz:
http://arxiv.org/abs/2301.00105
Autor:
Yamaguchi, Yuka, Yamaguchi, Naoya
For any positive integer $n$, let ${\rm C}_{n}$ be the cyclic group of order $n$. We determine all possible values of the integer group determinant of ${\rm C}_{4} \times {\rm C}_{2}^{2}$, which is the only unsolved abelian group of order $16$.
Externí odkaz:
http://arxiv.org/abs/2211.14761
Autor:
Yamaguchi, Yuka, Yamaguchi, Naoya
We determine all possible values of the integer group determinant of ${\rm C}_{4}^{2}$, where ${\rm C}_{4}$ is the cyclic group of order $4$.
Externí odkaz:
http://arxiv.org/abs/2211.01597
Autor:
Yamaguchi, Yuka, Yamaguchi, Naoya
We solve Olga Taussky-Todd's circulant problem in the case of order 16.
Externí odkaz:
http://arxiv.org/abs/2204.05014
We give explicit expressions of some special values for the monomial symmetric polynomials as applications of symmetric functions and group determinants. We also prove some vanishing or non-vanishing properties of these special values.
Externí odkaz:
http://arxiv.org/abs/2203.14422
Autor:
Yamaguchi, Naoya, Yamaguchi, Yuka
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 values of integer group determinants of its any abelian subgroup. By a
Externí odkaz:
http://arxiv.org/abs/2203.14420
Autor:
Yamaguchi, Naoya, Yamaguchi, Yuka
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 circulant determinants. In this paper, we give a modest generalizatio
Externí odkaz:
http://arxiv.org/abs/2202.06952