Wang Yang
Abstract
Let n be a positive integer,S(n) be the cubic complement of n,0k 1,k≠13.The main purpose of this paper is to study the properties of ∑n≤x{1/S(n)}k and solve the problem generated by some literatuers,and give two important asymptotic formulas by using analytic method.
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Let n be a positive integer,S(n) be the cubic complement of n,0k 1,k≠13.The main purpose of this paper is to study the properties of ∑n≤x{1/S(n)}k and solve the problem generated by some literatuers,and give two important asymptotic formulas by using analytic method.
Key concepts: Reciprocal, Complement (music), Cubic form, Integer (computer science), Mathematics, Combinatorics, Pure mathematics, Computer science