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The Resolution of Norm Form Equations

In: Diophantine Equations and Power Integral Bases

Author

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  • István Gaál

    (University of Debrecen, Institute of Mathematics)

Abstract

Although there is an extensive literature of the explicit resolution of Thue equations (see for example Chap. 3 ), the problem of algorithmic resolution of norm form equations was not investigated formerly. Our purpose is now to fill this gap and to give an efficient method for solving norm form equations under general conditions. The reason to include this algorithm in this book is that we use the same tools of Chap. 2 as for the above types of Thue equations.

Suggested Citation

  • István Gaál, 2019. "The Resolution of Norm Form Equations," Springer Books, in: Diophantine Equations and Power Integral Bases, edition 2, chapter 0, pages 81-92, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-23865-0_6
    DOI: 10.1007/978-3-030-23865-0_6
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