Multiplicative even functions (mod r). II Identities involving Ramanujan sums.
Multiplicative even functions (mod r). I Structural properties.
On a class of multiplicative arithmetic functions.
Certain classes of arithmetic functions and the operation of additive convolution.
On certain trigonometric sums in several variables.
Cauchy multiplication and periodic functions (mod r).
We analise periodic functions (mod r), keeping Cauchy multiplication as the basic tool, and pay particular attention to even functions (mod r) having the property f(n) = f((n,r)) for all n. We provide some new aspects into the Hilbert space structure of even functions (mod r) and make use of linera transformations to interpret the known number-theoretic formulae involving solutions of congruences.
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