Titlebook: Algorithmic Number Theory; 4th International Sy Wieb Bosma Conference proceedings 2000 Springer-Verlag Berlin Heidelberg 2000 Algorithmic N

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Wieb BosmaIncludes supplementary material:

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0302-9743 Overview: Includes supplementary material: 978-3-540-67695-9978-3-540-44994-2Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Management, Personal und Organisationf intractability. We will discuss Ajtai’s worst-case/average-case connections for the shortest vector problem, similar results for the closest vector problem and short basis problem, NP-hardness and non-NP-hardness, transference theorems between primal and dual lattices, and application to secure cryptography.

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Management, Personal und Organisationegrees of these extensions, which turns out to be the main difficulty. While in two special situations explicit formulas for the degrees are known, the general problem is solved algorithmically. The systematic application of the methods described yields several new examples of algebraic curves over . and . with comparatively many rational points.

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Management, Personal und Organisation lattice basis in practice. We analyze substantial experimental data and to our knowledge, we are the first to present a general heuristic for determining which variant of the reduction algorithm, for varied parameter choices, yields the most efficient reduction strategy for reducing a particular problem instance.

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Das Leistungs- und Produktportfoliocle for ..(ℤ); the special values are computed as periods of Ψ, and are expressed in terms of generalized Dedekind sums. We conclude with some numerical examples for cubic and quartic fields of small discriminant.

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Das Umsatzvolumen im Optionshandel, on numbers of . bits. This algorithm is based on a recent algorithm of Atkin and Bernstein [1], modified using ideas developed by Voronoï for analyzing the Dirichlet divisor problem [20]. We give timing results which show our algorithm has roughly the expected running time.

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