Index Form Equations in General

István Gaál
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István Gaál: University of Debrecen, Institute of Mathematics

Chapter Chapter 7 in Diophantine Equations and Power Integral Bases, 2019, pp 93-103 from Springer

Abstract: 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 .

Date: 2019
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DOI: 10.1007/978-3-030-23865-0_7

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