On a certain family of quadratic Thue equations

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dc.contributor.authorZiegler, Volker
dc.date.accessioned2022-04-22T12:18:52Z
dc.date.available2022-04-22T12:18:52Z
dc.date.issued2006
dc.descriptionThue [15] who proved that Diophantine equation (1.1) has only finitely many solutions (X, Y) ∈ Z^2. The proof of this theorem is based on Thue’s approximation theorem.en_US
dc.description.abstractWe consider the parameterized Thue equation X^4 − 4sX^3Y − (2ab + 4(a + b)s)X^2Y^2 − 4absXY^3 + a^2b^2Y^4 = ±1, with a, b ∈ 1/4Z such that ab ∈ Z. By the hypergeometric method and a method of Tzanakis we find all solutions, if s is large with respect to |a| and |b|.en_US
dc.description.sponsorshipThe author was partially supported by the Austrian Science Foundation, project S 8307-MAT. World Banken_US
dc.identifier.citationZiegler, V. (2006). On a certain family of quadratic Thue equations with three parameters. Pg 9-30.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/1420
dc.language.isoenen_US
dc.publisherGLASNIK MATEMATICKIen_US
dc.relation.ispartofseries;22
dc.subjectDiophantine equationsen_US
dc.subjectparameterized Thue equationsen_US
dc.subjectnorm form equationsen_US
dc.subjectsimultaneous Pellian equationsen_US
dc.titleOn a certain family of quadratic Thue equationsen_US
dc.typeArticleen_US
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