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2008•Journal of Guangxi Teachers Education UniversityRequires access

An Equation on the Arithmetic Function δ(n)

LE Mao-hua

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Abstract

For any positive integer n,let δ(n) denote the sum of distinct divisors of n.In this paper,we prove that the equation has only the positive integer solutions n=1 and 2.

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What this paper is about

For any positive integer n,let δ(n) denote the sum of distinct divisors of n.In this paper,we prove that the equation has only the positive integer solutions n=1 and 2.

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Available abstract

For any positive integer n,let δ(n) denote the sum of distinct divisors of n.In this paper,we prove that the equation has only the positive integer solutions n=1 and 2.

Key concepts: Mathematics, Arithmetic, Function (biology), Applied mathematics, Algebra over a field, Pure mathematics, Evolutionary biology, Biology

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