The Journal of the Indian Mathematical Society

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On a Problem of Hardy on The Distribution of Integers having a Given Number of Prime Factors, I


     

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Let (i) σr(x) denote the number of numbers ≤ x which are composed of v prime factors, where each factor is counted according to its multiplicity, (ii) πV(X) denote the number of such square free numbers, (iii) pr(x) denote the number of numbers ≤ x having v different prime factors.
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  • On a Problem of Hardy on The Distribution of Integers having a Given Number of Prime Factors, I

Abstract Views: 231  |  PDF Views: 0

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Abstract


Let (i) σr(x) denote the number of numbers ≤ x which are composed of v prime factors, where each factor is counted according to its multiplicity, (ii) πV(X) denote the number of such square free numbers, (iii) pr(x) denote the number of numbers ≤ x having v different prime factors.