Wang Yang
Abstract
Let n be a postive integer, a(n) be the cubic complement of n. The main purpose of this paper is to study the properties of ∑n≤xa k(n) and ∑n≤xa(n)n k, and solve the 28-th problem genertated by professor of F.Smarandache, and using analytic method give two interesting asymptotic formulas.
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Let n be a postive integer, a(n) be the cubic complement of n. The main purpose of this paper is to study the properties of ∑n≤xa k(n) and ∑n≤xa(n)n k, and solve the 28-th problem genertated by professor of F.Smarandache, and using analytic method give two interesting asymptotic formulas.
Key concepts: Complement (music), Mathematics, Integer (computer science), Combinatorics, Discrete mathematics, Computer science, Complementation, Gene