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

A Diophantine Equation of Mordell


Affiliations
1 Foreign Service Institute, Old J. N. U. Campus, Baba Gang Nath Marg, New Delhi-110067, India
     

   Subscribe/Renew Journal


While one- and two-parameter solutions of the diophantine equation 1/x+1/y+1/z+1/w+1/xyzw=0 are known and all integer solutions below a given bound can also be obtained, the complete solution of this equation has not yet been found. The published parametric solutions generate integer solutions of a somewhat restricted type. In this paper we obtain much more general, infinitely many, two-parameter solutions of the aforesaid equation. We also show how even more general, infinitely many, solutions expressed in terms of several parameters can be obtained.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 328

PDF Views: 0




  • A Diophantine Equation of Mordell

Abstract Views: 328  |  PDF Views: 0

Authors

Ajai Choudhry
Foreign Service Institute, Old J. N. U. Campus, Baba Gang Nath Marg, New Delhi-110067, India

Abstract


While one- and two-parameter solutions of the diophantine equation 1/x+1/y+1/z+1/w+1/xyzw=0 are known and all integer solutions below a given bound can also be obtained, the complete solution of this equation has not yet been found. The published parametric solutions generate integer solutions of a somewhat restricted type. In this paper we obtain much more general, infinitely many, two-parameter solutions of the aforesaid equation. We also show how even more general, infinitely many, solutions expressed in terms of several parameters can be obtained.