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We study the explicit factorization of 2 n r-th cyclotomic polynomials over finite field Fq where q, r are odd with (r, q) = 1. We show that all irreducible factors of 2 n r-th cyclotomic polynomials can be obtained easily from irreducible factors of cyclotomic polynomials of small orders. In particular, we obtain the explicit factorization of 2 n 5-th(More)
In this paper we first extend a minimal partial realization algorithm from vector sequences to matrix sequences of equal length by means of a lattice basis reduction algorithm over polynomial rings. We also give all minimal partial realizations for such matrix sequences and a sufficient and necessary condition for the uniqueness issue. Then we improve the(More)
In the title coordination polymer, {[Cu(SO4)(C18H14N4O2)(H2O)]·C3H7NO} n , the Cu(II) ion is coordinated by two N atoms of two briding N,N'-bis-(pyridin-4-yl)isophthalamide ligands, two O atoms of two bridging SO4(2-) anions and a water mol-ecule, giving a distorted CuN2O3 square-pyramidal geometry. The whole repeating mol-ecular unit is generated by(More)