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The Diophantine problem \(Y^2-X^3=A\) in a polynomial ring. (English) Zbl 0273.10044

MSC:

11C08 Polynomials in number theory
11D25 Cubic and quartic Diophantine equations
13F20 Polynomial rings and ideals; rings of integer-valued polynomials
14G99 Arithmetic problems in algebraic geometry; Diophantine geometry
14H45 Special algebraic curves and curves of low genus
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