Numerical verification of the Cohen–Lenstra–Martinet heuristics and of Greenberg’s $p$-rationality conjecture

Author:

Barbulescu Razvan,Ray Jishnu

Publisher

Cellule MathDoc/CEDRAM

Reference26 articles.

1. [1] Aoki, Miho; Fukuda, Takashi An Algorithm for Computing p-Class Groups of Abelian Number Fields, Algorithmic Number Theory – ANTS VII (Lecture Notes in Computer Science) Volume 4076 (2006)

2. [2] Barbulescu, Razvan; Ray, Jishnu Electronic manuscript of computations of “Numerical verification of the Cohen-Lenstra-Martinet heuristics and of Greenberg’s p-rationality conjecture”, 2017 (available online at https://webusers.imj-prg.fr/~razvan.barbaud/pRational/pRational.html)

3. [3] Bauch, Jens; Bernstein, Daniel J.; de Valence, Henry; Lange, Tanja; Van Vredendaal, Christine Short generators without quantum computers: the case of multiquadratics, Advances in cryptology – EUROCRYPT 2017 (Lecture Notes in Computer Science) Volume 10210 (2017), pp. 27-59

4. [4] Cohen, Henri A course in computational algebraic number theory, Graduate Texts in Mathematics, Volume 138, Springer, 2013

5. [5] Cohen, Henri; Lenstra, Hendrik W. Jr. Heuristics on class groups, Number theory (New York, 1982) (Lecture Notes in Mathematics) Volume 1052, Springer, 1984, pp. 26-36

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the p-rationality of consecutive quadratic fields;Journal of Number Theory;2023-07

2. Triquadratic p-rational fields;Journal of Number Theory;2023-01

3. Multi-quadratic p-rational number fields;Journal of Pure and Applied Algebra;2021-09

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