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Index Form Equations in General

In: Diophantine Equations and Power Integral Bases

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  • István Gaál

    (University of Debrecen, Institute of Mathematics and Informatics)

Abstract

In this chapter we investigate the structure of the index form (1.1). Discovering special properties of the index form, especially factorization properties, makes the resolution of index form equations much easier. A special situation (which otherwise is frequent in numerical examples) is considered in Section 4.4, when the field K is the composite of its subfields. The general results on composite fields have several applications, see e.g., Sections 8.3, 10.2, 10.3.1 and 10.3.3.

Suggested Citation

  • István Gaál, 2002. "Index Form Equations in General," Springer Books, in: Diophantine Equations and Power Integral Bases, chapter 4, pages 45-52, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0085-7_4
    DOI: 10.1007/978-1-4612-0085-7_4
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