Rational arithmetic functions are arithmetic functions of the form
g1∗⋯∗gr∗h1−1∗⋯∗hs−1, where gi, hj are completely multiplicative functions and
∗ denotes the Dirichlet convolution. Four aspects of these
functions are studied. First, some characterizations of such
functions are established; second, possible Busche-Ramanujan-type
identities are investigated; third, binomial-type identities are
derived; and finally, properties of the Kesava Menon
norm of such functions are proved.