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2000•Journal of Mathematical Research and ExpositionRequires access

Estimates of Certain Sums Involving Reciprocals of the Smallest Prime Factor of an Integer

Cao Hui-zhong

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Abstract

Let p(n) denote the smallest prime factor of n 1. The asymptotic formula for the sum is given, where fv(n) are a class of arithmetical functions. is given, where fv(n) are a class of arithmetical functions.

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What this paper is about

Let p(n) denote the smallest prime factor of n 1. The asymptotic formula for the sum is given, where fv(n) are a class of arithmetical functions. is given, where fv(n) are a class of arithmetical functions.

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Available abstract

Let p(n) denote the smallest prime factor of n 1. The asymptotic formula for the sum is given, where fv(n) are a class of arithmetical functions. is given, where fv(n) are a class of arithmetical functions.

Key concepts: Arithmetic function, Mathematics, Prime (order theory), Prime factor, Class (philosophy), Integer (computer science), Combinatorics, Factor (programming language)

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