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2010•Science Technology and EngineeringRequires access

On the k-th Power Mean Value of the k Part Sequence of a Positive Integer

Zhang Zhuan-she

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Abstract

For any positive integer n,let ak(n)and bk(n)denote the inferior and superior cube part of n respectively.The main purpose is to study the asymptotic properties of the sequences{ak(n)}and{ak(n)},and gives two interesting asymptotic formulas.

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What this paper is about

For any positive integer n,let ak(n)and bk(n)denote the inferior and superior cube part of n respectively.The main purpose is to study the asymptotic properties of the sequences{ak(n)}and{ak(n)},and gives two interesting asymptotic formulas.

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Available abstract

For any positive integer n,let ak(n)and bk(n)denote the inferior and superior cube part of n respectively.The main purpose is to study the asymptotic properties of the sequences{ak(n)}and{ak(n)},and gives two interesting asymptotic formulas.

Key concepts: Integer (computer science), Sequence (biology), Mathematics, Combinatorics, Value (mathematics), Cube (algebra), Power (physics), Asymptotic formula

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