SOME PROPERTIES OF A CERTAIN CLASS OF ARITHMETICAL FUNCTIONS
Abstract
In this paper, we define a certain class of arithmetical multiplicative functions which are called R-multiplicative functions. Every R-multiplicative function is a multiplicative function but converse need not be true. A necessary and sufficient condition for the Dirichlet product of two R-multiplicative functions to be as R-multiplicative function is given. Some properties on R-multiplicative functions are derived.
Keywords
Multiplicative function, R-multiplicative function, completely multiplicative function.
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