Johnson, Dennis L. (1972) The diophantine problem Y²  X³ = A in a polynomial ring. Pacific Journal of Mathematics, 43 (1). pp. 151155. ISSN 00308730. http://resolver.caltech.edu/CaltechAUTHORS:JOHpjm72

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Abstract
Let C[z] be the ring of polynomials in z with complex coefficients; we consider the equation Y² — X³ = A, with A[is an element of]C[z] given, and seek solutions of this with X, Y[is an element of]C[z] i.e. we treat the equation as a "polynomial diophantine" problem. We show that when A is of degree 5 or 6 and has no multiple roots, then there are exactly 240 solutions (X, Y) to the problem with deg X ≤ 2 and deg Y ≤ 3.
Item Type:  Article 

Additional Information:  © 1972 Pacific Journal of Mathematics. Received July 15, 1971. This paper presents the results of one phase of research carried out at the Jet Propulsion Laboratory, California Institute of Technology, under Contract No. NAS 7100, sponsored by the National Aeronautics and Space Administration. 
Record Number:  CaltechAUTHORS:JOHpjm72 
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:JOHpjm72 
Alternative URL:  http://projecteuclid.org/Dienst/UI/1.0/Summarize/euclid.pjm/1102959650 
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ID Code:  844 
Collection:  CaltechAUTHORS 
Deposited By:  Tony Diaz 
Deposited On:  19 Oct 2005 
Last Modified:  26 Dec 2012 08:41 
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