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

Highly Composite Numbers of the tth Order


Affiliations
1 Calcutta University, India
     

   Subscribe/Renew Journal


Let dt(N) denote the number of ways of decomposing JV into / factors. N is defined as a highly composite number of the th order, if df (N) > dt(N') for all N' < N. Ramanujan's highly composite numbers form the particular case when t = 2.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 203

PDF Views: 0




  • Highly Composite Numbers of the tth Order

Abstract Views: 203  |  PDF Views: 0

Authors

S. S. Pillai
Calcutta University, India

Abstract


Let dt(N) denote the number of ways of decomposing JV into / factors. N is defined as a highly composite number of the th order, if df (N) > dt(N') for all N' < N. Ramanujan's highly composite numbers form the particular case when t = 2.