Infuriate
发表于 2025-3-23 12:27:07
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 . Our results extend ideas of M. Shimura who used only the full modular jacobian instead of abelian quotients of it.
cauda-equina
发表于 2025-3-23 15:37:52
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
发表于 2025-3-23 20:00:39
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Leaven
发表于 2025-3-24 00:44:15
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Pigeon
发表于 2025-3-24 06:03:51
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CANON
发表于 2025-3-24 07:15:02
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
发表于 2025-3-24 11:08:42
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充满装饰
发表于 2025-3-24 15:06:13
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忘川河
发表于 2025-3-24 22:58:50
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 .
padding
发表于 2025-3-25 01:39:21
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