2010Journal of Zhoukou Normal UniversityRequires access

A problem 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.This paper proved that there exist infinitely many positive integers n satisfying δ(n)δ(n-1)δ(n+1).

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For any positive integer n,let δ(n) denote the sum of distinct divisors of n.This paper proved that there exist infinitely many positive integers n satisfying δ(n)δ(n-1)δ(n+1).

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Available abstract

For any positive integer n,let δ(n) denote the sum of distinct divisors of n.This paper proved that there exist infinitely many positive integers n satisfying δ(n)δ(n-1)δ(n+1).

Key concepts: Arithmetic, Mathematics, Function (biology), Arithmetic function, Algebra over a field, Computer science, Discrete mathematics, Pure mathematics

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