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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

A Thue equation with quadratic integers as variables


Author: B. M. M. de Weger
Journal: Math. Comp. 64 (1995), 855-861
MSC: Primary 11D25; Secondary 11D41, 11J86, 11Y50
DOI: https://doi.org/10.1090/S0025-5718-1995-1277766-0
MathSciNet review: 1277766
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Abstract: In an earlier paper we determined all the solutions in $ \mathbb{Z}$ of a cubic Thue equation with coefficients in a quadratic number field. It is now shown that the method used there can be used to solve the more general problem of determining all the solutions of the Thue equation in a ring of quadratic integers.


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DOI: https://doi.org/10.1090/S0025-5718-1995-1277766-0
Article copyright: © Copyright 1995 American Mathematical Society