Titlebook: A Course in Computational Algebraic Number Theory; Henri Cohen Textbook 1993 Springer-Verlag GmbH Germany, part of Springer Nature 1993 Al

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Tendai Chari,Nhamo A. Mhiripiri, ... ), which are large numbers. Even though only partial factorizations are needed, the tests of Section 8.3 become impractical as soon as . has more than 100 digits, say. A breakthrough was made in 1980 by Adleman, Pomerance and Rumely, that enabled testing the primality of much larger numbers. T

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Graduate Texts in Mathematicshttp://image.papertrans.cn/a/image/140460.jpg

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A Theoretical Research Frameworkple, solving a linear system of equations is such a problem. Apart from stability considerations, such problems and algorithms can be solved by a single algorithm independently of the base field (or more generally of the base ring if we work with modules). Those algorithms will naturally be called . algorithms.

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African Female Entrepreneurshipm. Excellent basic textbooks on these subjects are, for example [Bo-Sh], [Cas-Fr?], [Cohn], [Ire-Ros], [Marc], [Sam] however these have little algorithmic flavor. We will give proofs only when they help to understand an algorithm, and we urge the reader to refer to the above textbooks for the proofs which are not given.

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