On Some Properties Of Cubic Complements

There are two Chapters in this thesis, which studied some properties of cubic complements.In Chapter I , we gave the mean value of divisor function of cubic complements S3(n), and using analytic method obtained two asymptoticformulas of andIn Chapter n , we studied the k -th mean value of cubic complements S3 (n) and reciprocal , using elemental method studied asymptoticfour asymptotic formulas which are more sharp than what in reference [5] , and further solved the 28-th problem generated by Professor F.Smarandache in reference [1] .