High Primes and Misdemeanours: Lectures in Honour of the 60th Birthday of Hugh Cowie Williams
High Primes and Misdemeanours: Lectures in Honour of the 60th Birthday of Hugh Cowie Williams
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高质与轻罪：纪念休·考伊·威廉姆斯 60 岁生日的讲座
DOI：
10.1090/fic/041
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
Paul Zimmermann
中科院分区：
文献类型：
--
作者：
Richard P. Brent;Paul Zimmermann
构造素域上已知点数的椭圆曲线。Agashe，K.劳特和R.论基数表示的推广--S。秋山T. Borbely，H. Brunotte，A. Petho和J.M.因此，欧拉函数的值的乘法结构由W。D.班克斯，J. B。弗里德兰德角波默兰斯和我。e. Shparlinski同余和指数和与欧拉函数的W。D.班克斯和我e. Shparlinski关于小参数循环差集的存在性。D. Baumert和D. M. Gordon局部平方多项式值的双聚焦枚举。伯恩斯坦三次互易和显式素性测试的$h\cdot 3^k\pm 1 $由W。R.求几乎不可约和几乎本原三项式的Bosma算法。布伦特和齐默尔曼对卢卡斯检验的评论。Takagi和U.可重构计算机及其在计算数论中的应用。a. Buell，S. Devarkal和H. a.关于素幂真实的分圆域类数的唤醒启发式。波默朗斯和L. H. Robertson计数给定预解式立方的A_4数域和S_4数域关于K. Dilcher和J. Knauer的一项研究表明，加西亚，J.M. Pedersen和H.特·里勒（te Riele）对休·C.威廉姆斯A. H.关于算术亏格为1的Granville Hilbert模四重。G. Grundman和L. e.本文讨论了由Hugh威廉姆斯等人的工作引起的三元递归序列的Lippincott值和某些曲线的挠率。Herrmann和P.G. S.纯立方数域类群指数的沃尔什整除性。埃尔南德斯和F. J.霍尔顿和P. Moree关于离散对数的小圈的新的结构和结果;小雅各布森，a. Menezes和A. Stein对S. Chowla的假设意味着$L（s，\chi）> 0 $对于$s> 0 $和对于真实的字符$\chi $由S。关于S对模p的立方根的计算。穆勒天哪，爬行动物，$\ldots $由R。D. Patterson和A. J.货车在密码学中的应用。Rubin和A.对J.P.Sorenson的广义二元GCD算法的分析E. Teske周期连分式与椭圆曲线。J.货车德Poorten坎宁安项目由S。S.小瓦格斯塔夫对亏格为2的CM方法的推广和改进。翁建议裁判提交给高总理和轻罪由A。J.货车der Poorten和A.斯坦
Constructing elliptic curves with a known number of points over a prime field by A. Agashe, K. Lauter, and R. Venkatesan On a generalization of the radix representation-A survey by S. Akiyama, T. Borbely, H. Brunotte, A. Petho, and J. M. Thuswaldner Multiplicative structure of values of the Euler function by W. D. Banks, J. B. Friedlander, C. Pomerance, and I. E. Shparlinski Congruences and exponential sums with the Euler function by W. D. Banks and I. E. Shparlinski On the existence of cyclic difference sets with small parameters by L. D. Baumert and D. M. Gordon Doubly focused enumeration of locally square polynomial values by D. J. Bernstein Cubic reciprocity and explicit primality tests for $h\cdot 3^k\pm1$ by W. Bosma Algorithms for finding almost irreducible and almost primitive trinomials by R. P. Brent and P. Zimmermann Commentary on Lucas' test by J. Brillhart Number field cryptography by J. Buchmann, T. Takagi, and U. Vollmer Reconfigurable computing machines and their applications in computational number theory by D. A. Buell, S. Devarkal, and H. A. Wake Heuristics for class numbers of prime-power real cyclotomic fields by J. Buhler, C. Pomerance, and L. Robertson Counting $A_4$ and $S_4$ number fields with given resolvent cubic by H. Cohen On a conjecture of Feit and Thompson by K. Dilcher and J. Knauer Amicable pairs, a survey by M. Garcia, J. M. Pedersen, and H. te Riele On the research contributions of Hugh C. Williams by A. Granville Hilbert modular fourfolds of arithmetic genus one by H. G. Grundman and L. E. Lippincott Values of ternary recurrence sequences and torsion on certain curves arising from the work of Hugh Williams by E. Herrmann and P. G. Walsh Divisibility of exponents of class groups of pure cubic number fields by S. Hernandez and F. Luca New conjectures and results for small cycles of the discrete logarithm by J. Holden and P. Moree Hyperelliptic curves and cryptography by M. Jacobson, Jr., A. Menezes, and A. Stein Remarks on S. Chowla's hypothesis implying that $L(s,\chi)>0$ for $s>0$ and for real characters $\chi$ by S. Louboutin On the computation of cube roots modulo $p$ by S. Muller Jeepers, creepers, $\ldots$ by R. D. Patterson and A. J. van der Poorten Algebraic tori in cryptography by K. Rubin and A. Silverberg An analysis of the generalized binary GCD algorithm by J. P. Sorenson An elliptic curve trapdoor system (extended abstract) by E. Teske Periodic continued fractions and elliptic curves by A. J. van der Poorten The Cunningham project by S. S. Wagstaff, Jr. Extensions and improvements for the CM method for genus two by A. Weng Advice to referees of submissions to High Primes and Misdemeanours by A. J. van der Poorten and A. Stein.