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

Infuriate

Construction of Secure , , Curves Using Modular Curvesusing such quotients of modular jacobians is that fast methods are known for finding their number of points over finite fields [6]. Our results extend ideas of M. Shimura [13] who used only the full modular jacobian instead of abelian quotients of it.

cauda-equina

On Powers as Sums of Two Cubesis for . = 4,5, thus proving that .. + .. = .. and .. + .. = .. have only trivial primitive solutions. In the process we meet a Jacobian of a curve that has more 6-torsion at any prime of good reduction than it has globally. Furthermore, some pointers are given to computational aids for applying Chabauty methods.

excursion

Leaven

Pigeon

CANON

https://doi.org/10.1007/978-3-322-89382-6hese are combined with a birthday paradox algorithm to calculate the cardinality. Our methods are practical and we give actual results computed using our current implementation. The Jacobian groups we handle are larger than those previously reported in the literature.

majestic

充满装饰

忘川河

On Reconstruction of Algebraic Numbers roots of algebraic numbers. Secondly, we get an algorithm to factor polynomials over number fields which generalizes the Hensel-factoring method. Our method uses only integral LLL-reductions in contrast to the real LLL-reductions suggested by [6,8].

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