Paper Title
Arithmetic Functions and the Cross-Convvolution
Abstract
The Cross - convolution product of two arithmetic functions f and g is defined as
( )( ) ( ) ( ) ( )
( ) ( )
f g n n f x g y
xy n x y
, where (n) 0 for all nN . We establish properties of arithmetic function under
Cross - convolution and compare our results with those of the Dirichlet convolution.
Keywords - Multiplicative function, Completely multiplicative function, Dirichlet convolution, Cross – convolution