| An arithmetical function f is said to be a rational arithmetical function of order (s,r) if there existcompletely multiplicative functions f1,f2,…,fs and g1,g2,…,gr such thatf=f1*f2*… *fs*(g1)-1*(g2)-1*… *(gr) -1 ,where * is the Dirichlet convolution. Recently, L.C. Hsu and Wang Jun studied combinatorial meanings of rational arithmetical functions of order (1,r) . We study these meanings in the setting of Narkiewicz's regular convolution. |
