A system of cubic diophantine equations |
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| Authors: | S.P. Mohanty |
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| Affiliation: | Department of Mathematics, Indian Institute of Technology, I.I.T Kanpur, U.P., India |
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| Abstract: | In this paper we solve x3 + y + 1 ? xyz = 0 completely and study a pair of simultaneous cubic diophantine equations (1) x | y3 + 1 and y | x3 + 1, where x and y are positive integers. The main result in this paper is that there exist an infinite number of sequences such that x and y satisfy (1) if and only if they are consecutive terms of one of these sequences. |
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