Journal of the Ramanujan Mathematical Society

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

Sequences of Positive Integers Containing no p Terms in Arithmetic Progression Generated by the Greedy Algorithm


Affiliations
1 Dept. of Mathematics, RCC-Institute of Information Technology, South Canal Road, Beliaghata, Kolkata-700015, India
     

   Subscribe/Renew Journal


Let Sp be the set of positive integers containing no p terms in arithmetic progression generated by the greedy algorithm. We show that for p an odd prime, the set Sp does not maximize the sum ∑a∈A 1/a , where the set A runs over all sequences of positive integers containing no p terms in arithmetic progression.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 198

PDF Views: 0




  • Sequences of Positive Integers Containing no p Terms in Arithmetic Progression Generated by the Greedy Algorithm

Abstract Views: 198  |  PDF Views: 0

Authors

Goutam Pal
Dept. of Mathematics, RCC-Institute of Information Technology, South Canal Road, Beliaghata, Kolkata-700015, India

Abstract


Let Sp be the set of positive integers containing no p terms in arithmetic progression generated by the greedy algorithm. We show that for p an odd prime, the set Sp does not maximize the sum ∑a∈A 1/a , where the set A runs over all sequences of positive integers containing no p terms in arithmetic progression.