The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

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


     

   Subscribe/Renew Journal


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.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 230

PDF Views: 0




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

Abstract Views: 230  |  PDF Views: 0

Authors

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.