Titlebook: Computational Algebraic Number Theory; Michael E. Pohst Book 1993 Springer Basel AG 1993 Algebra.coding theory.cryptography.finite field.g

culinary

书目名称Computational Algebraic Number Theory影响因子(影响力)




书目名称Computational Algebraic Number Theory影响因子(影响力)学科排名




书目名称Computational Algebraic Number Theory网络公开度




书目名称Computational Algebraic Number Theory网络公开度学科排名




书目名称Computational Algebraic Number Theory被引频次




书目名称Computational Algebraic Number Theory被引频次学科排名




书目名称Computational Algebraic Number Theory年度引用




书目名称Computational Algebraic Number Theory年度引用学科排名




书目名称Computational Algebraic Number Theory读者反馈




书目名称Computational Algebraic Number Theory读者反馈学科排名

课程

Topics from finite fields, and . a . of ., i.e. .. = 〈.〉. In general, arithmetic in . will be done by using two representations for its elements .:(i).,(ii)..Then addition and subtraction is done by the first, multiplication and division by the second representation. Thus all we need are two tables allowing to switch from on

travail

Topics from the geometry of numbers,ater chapters. All results can be easily generalized to principal entire rings . For practical calculations, however, we need a Euclidean division algorithm in . for the computation of the greatest common divisor of two elements. Proofs of Lemmata 1.1, 1.2, 1.6, 1.7 and Theorem 1.3, 1.5 for principa

信徒

Algebraic number fields,called the . of .. Clearly, ℚ(.) = . ≅ ℚ[.].(.)ℚ[.], and the successive powers l, .,…, .. form a basis of . over ℚ. For describing the arithmetic in . we will need the counterpart of the rational integers in . These integers of . are defined as those elements of . which are .., i.e. zeros of monic n

flamboyant

Computation of an integral basis,… until .. = .. for some . ∈ ℤ.. Prom our considerations in chapter III we know that . is in ℤ. since that quotient equals the absolute value of the determinant of a transition matrix from a basis of .. to a basis of ... Prom chapters III, IV we recall that ∣d(.)∣ = .(..)., ∣..∣ = .(..).. Since with

争议的苹果

争议的苹果

Book 1993ion • Basic Arithmetic • Computation of an integral basis • Integral closure • Round-Two-Method • Round-Four-Method • Computation of the unit group • Dirichlet‘s unit theorem and a regulator bound • Two methods for computing r independent units • Fundamental unit computation • Computation of the cla

FER

fringe

Introduction,olving non-linear Diophantine equations, in factoring with the number field sieve and in carrying out numerical experiments in number fields. We illustrate their importance by two introductory examples.

grounded

https://doi.org/10.1007/978-1-4615-7918-2olving non-linear Diophantine equations, in factoring with the number field sieve and in carrying out numerical experiments in number fields. We illustrate their importance by two introductory examples.