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Index Form Equations in General

In: Diophantine Equations and Power Integral Bases

Author

Listed:
  • István Gaál

    (University of Debrecen, Institute of Mathematics)

Abstract

In this chapter we investigate the structure of the index form equation ( 1.7 ). Discovering special properties of the index form, especially factorization properties, makes the resolution of index form equations much easier. In the numerical examples the field K is often the composite of its subfields. This special case is considered in Sect. 7.5. The general results on composite fields have several applications, see for example Sects. 11.4 , 13.2 , 15.1 , and 15.3 .

Suggested Citation

  • István Gaál, 2019. "Index Form Equations in General," Springer Books, in: Diophantine Equations and Power Integral Bases, edition 2, chapter 0, pages 93-103, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-23865-0_7
    DOI: 10.1007/978-3-030-23865-0_7
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