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

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Computing Special Values of Partial Zeta Functionscle for ..(?); 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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Management, Personal und OrganisationWe give an efficient algorithm for factoring polynomials over finite algebraic extensions of the .-adic numbers. This algorithm uses ideas of Chistov’s random polynomial-time algorithm, and is suitable for practical implementation.

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Acupressure

Jubilation

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Factoring Polynomials over ,-Adic FieldsWe give an efficient algorithm for factoring polynomials over finite algebraic extensions of the .-adic numbers. This algorithm uses ideas of Chistov’s random polynomial-time algorithm, and is suitable for practical implementation.

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Psa617

Counting Discriminants of Number Fields of Degree up to FourFor each permutation group . on . letters with .?≤?4, we give results, conjectures and numerical computations on discriminants of number fields . of degree . over ? such that the Galois group of the Galois closure of . is isomorphic to ..

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