Paper Title :Arithmetic Functions and the Cross-Convvolution
Author :Sunanta Srisopha
Article Citation :Sunanta Srisopha ,
(2018 ) " Arithmetic Functions and the Cross-Convvolution " ,
International Journal of Management and Applied Science (IJMAS) ,
pp. 50-52,
Volume-4,Issue-4
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
Type : Research paper
Published : Volume-4,Issue-4
DOIONLINE NO - IJMAS-IRAJ-DOIONLINE-11906
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Copyright: © Institute of Research and Journals
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Published on 2018-06-26 |
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