Resistance 发表于 2025-4-1 02:23:42
Shimura curve computations,rves . .(1) associated with the quaternion algebras over . ramified at {2,3}, {2,5}, {2,7}, and {3,5}. We conclude with a list of open questions that may point the way to further computational investigation of these curves.性别 发表于 2025-4-1 09:30:38
Primality proving using elliptic curves: An update,d ECPP, has been used for nearly ten years. The purpose of this paper is to give an account of the recent theoretical and practical improvements of ECPP, as well as new benchmarks for integers of various sizes and a new primality record.MAIZE 发表于 2025-4-1 12:14:28
An analytic approach to smooth polynomials over finite fields,hm problem. In addition, we characterize the distribution of the two largest degrees of irreducible factors, a problem relevant to polynomial factorization. As opposed to most earlier treatments, our methods are based on a combination of exact descriptions by generating functions and a specific complex asymptotic method.Deject 发表于 2025-4-1 14:39:51
https://doi.org/10.1007/978-3-663-16164-6t sieving close to real roots. Estimates of the effect of the second property show that it may effect yield by as much as a factor of two. We present sieving experiments demonstrating the effect to that extent. Finally, we suggest a preliminary model to approximate the behaviour of these polynomials across the sieving region.厚颜无耻 发表于 2025-4-1 19:25:14
Der Capability Approach und seine Anwendungof an algorithm by Peter Montgomery. Unfortunately, Montgomery only published a preliminary version of his algorithm , while a description of his own implementation can be found in . In this paper, we present a variant of the algorithm, compare it with the original algorithm, and discuss its complexity.中子 发表于 2025-4-1 22:59:20
http://reply.papertrans.cn/16/1531/153003/153003_66.pngBronchial-Tubes 发表于 2025-4-2 04:37:11
http://reply.papertrans.cn/16/1531/153003/153003_67.pngcritic 发表于 2025-4-2 11:00:01
Conference proceedings 1998USA, in June 1998..The volume presents 46 revised full papers together with two invited surveys. The papers are organized in chapters on gcd algorithms, primality, factoring, sieving, analytic number theory, cryptography, linear algebra and lattices, series and sums, algebraic number fields, class gMOAT 发表于 2025-4-2 14:54:28
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