Titlebook: Diophantine Equations and Power Integral Bases; New Computational Me István Gaál Book 20021st edition Birkh?user Boston 2002 Algebraic Numb

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Relative Power Integral Bases,er degree fields having subfields. It is easy to see that if an element generates a power integral basis, then it also generates a relative power integral basis over a subfield. Thus, for example the algorithm for relative quartic extensions described in Section 9.3 will be used in octic fields with a quadratic subfield in Section 10.1.

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亂砍

Book 20021st editionproperties of number fields and new applications. The text is illustrated with several tables of various number fields, including their data on power integral bases. Good resource for solving classical types of diophantine equations. Aimed at advanced undergraduate/graduate students and researchers.

無能的人

placed on properties of number fields and new applications. The text is illustrated with several tables of various number fields, including their data on power integral bases. Good resource for solving classical types of diophantine equations. Aimed at advanced undergraduate/graduate students and researchers.978-1-4612-0085-7

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https://doi.org/10.1007/978-1-349-08004-5n Section 7.1. Having read the relatively complicated formulas of this procedure, in Section 7.2 the reader is rewarded with an interesting family of totally real cyclic quintic fields introduced by E.Lehmer.

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Book 20021st editionng several types of diophantine equations using Baker-type estimates, reduction methods, and enumeration algorithms. Particular emphasis is placed on properties of number fields and new applications. The text is illustrated with several tables of various number fields, including their data on power

冥想后

Robert Fisch,Janko Gravner,David Griffeathis chapter we also include an algorithm for solving certain types of norm form equations (Section 3.4), the type of the equation and the ideas for solving it being very close to what we use for the various types of Thue equations.

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Auxiliary Equations,is chapter we also include an algorithm for solving certain types of norm form equations (Section 3.4), the type of the equation and the ideas for solving it being very close to what we use for the various types of Thue equations.

Inclement

for solving several types of diophantine equations using Baker-type estimates, reduction methods, and enumeration algorithms. Particular emphasis is placed on properties of number fields and new applications. The text is illustrated with several tables of various number fields, including their data