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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…