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 ax - bY = bY ≥ax


Affiliations
1 Calcutta University, India
     

   Subscribe/Renew Journal


In two previous papers, I have proved that the equation ax-by = c has only a finite number of solutions for any c, and has at most one solution when c is large. These two results together mean that ax-bY = ax - by has got only a finite number of solutions in x, y, X, T. The object of this paper is to prove that ax-bY = by &&8805; a.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 204

PDF Views: 0




  • On ax - bY = bY ≥ax

Abstract Views: 204  |  PDF Views: 0

Authors

S. S. Pillai
Calcutta University, India

Abstract


In two previous papers, I have proved that the equation ax-by = c has only a finite number of solutions for any c, and has at most one solution when c is large. These two results together mean that ax-bY = ax - by has got only a finite number of solutions in x, y, X, T. The object of this paper is to prove that ax-bY = by &&8805; a.