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2004•Shuxue de shijian yu renshiRequires access

On the Mean Value for Reciprocal Cubic Complements

Wang Yang

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Abstract

Let n be positive integer, S(n) be a cubic complements of n. The main purpose of this paper is to study the asymptotic properties of ∑nx 1S(n) and ∑nx nS(n), and us the elementary methods to give two asymptotic formulas.

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What this paper is about

Let n be positive integer, S(n) be a cubic complements of n. The main purpose of this paper is to study the asymptotic properties of ∑nx 1S(n) and ∑nx nS(n), and us the elementary methods to give two asymptotic formulas.

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Available abstract

Let n be positive integer, S(n) be a cubic complements of n. The main purpose of this paper is to study the asymptotic properties of ∑nx 1S(n) and ∑nx nS(n), and us the elementary methods to give two asymptotic formulas.

Key concepts: Reciprocal, Mathematics, Integer (computer science), Combinatorics, Asymptotic formula, Mean value, Value (mathematics), Cubic form

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