The Journal of the Indian Mathematical Society

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On ax - bY = bY ≥ax


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1 Calcutta University, India
     

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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.
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  • On ax - bY = bY ≥ax

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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.