17 citations · 44 across the 21 of their papers we have counts for
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Integer group determinants for abelian groups of order 16
Yuka Yamaguchi, Naoya Yamaguchi
For any positive integer , let be the cyclic group of order . We determine all possible values of the integer group determinant of ${\rm C}_{4} \times {\rm C}_{…
Integer group determinants for
Yuka Yamaguchi, Naoya Yamaguchi
We determine all possible values of the integer group determinant of , where is the cyclic group of order .
Integer group determinants for
Yuka Yamaguchi, Naoya Yamaguchi
We determine all possible values of the integer group determinant of , where is the cyclic group of order .
Integer circulant determinants of order 16
Yuka Yamaguchi, Naoya Yamaguchi
We solve Olga Taussky-Todd's circulant problem in the case of order 16.
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, \…
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…
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…