DOIONLINE 
DOIONLINE Publish In |
International Journal of Management and Applied Science (IJMAS)-IJMAS |
 Journal Home Volume Issue |
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Issue |
Volume-4,Issue-4 ( Apr, 2018 ) | |||||||||
Paper Title |
Arithmetic Functions and the Cross-Convvolution | |||||||||
Author Name |
Sunanta Srisopha | |||||||||
Affilition |
Department of Applied Mathematics, Faculty of Science and Technology, Valaya Alongkorn Rajabhat University under the Royal Patronage, Thailand | |||||||||
Pages |
50-52 | |||||||||
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 | |||||||||
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