Genki Shibukawa

Principal specialization of monomial symmetric polynomials and group determinants of cyclic groups

Abstract In this paper, we study the principal specialization of monomial symmetric polynomials and investigate the special values of these polynomials at $$\begin{aligned} \zeta _{(n,k)} := ( 1, \zeta _n, \zeta _n^2, \dots , \zeta _n^{kn-1} ), \end{aligned}$$ ζ ( n , k ) : = ( 1...