"Cohen-Lenstra heuristics"의 두 판 사이의 차이
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| + | ==관련논문== | ||
* Milovic, Djordjo. “On the <math>16</math>-Rank of Class Groups of <math>\mathbb{Q}(\sqrt{-8p})</math> for <math>p\equiv -1\bmod 4</math>.” arXiv:1511.07127 [math], November 23, 2015. http://arxiv.org/abs/1511.07127. | * Milovic, Djordjo. “On the <math>16</math>-Rank of Class Groups of <math>\mathbb{Q}(\sqrt{-8p})</math> for <math>p\equiv -1\bmod 4</math>.” arXiv:1511.07127 [math], November 23, 2015. http://arxiv.org/abs/1511.07127. | ||
* Bartel, Alex, and Hendrik W. Lenstra Jr. “Commensurability of Automorphism Groups.” arXiv:1510.02758 [math], October 9, 2015. http://arxiv.org/abs/1510.02758. | * Bartel, Alex, and Hendrik W. Lenstra Jr. “Commensurability of Automorphism Groups.” arXiv:1510.02758 [math], October 9, 2015. http://arxiv.org/abs/1510.02758. | ||
* Wood, Melanie Matchett. ‘Random Integral Matrices and the Cohen Lenstra Heuristics’. arXiv:1504.04391 [math], 16 April 2015. http://arxiv.org/abs/1504.04391. | * Wood, Melanie Matchett. ‘Random Integral Matrices and the Cohen Lenstra Heuristics’. arXiv:1504.04391 [math], 16 April 2015. http://arxiv.org/abs/1504.04391. | ||
* Boston, Nigel, Michael R. Bush, and Farshid Hajir. “Heuristics for <math>p</math>-Class Towers of Imaginary Quadratic Fields, with an Appendix by Jonathan Blackhurst.” arXiv:1111.4679 [math], November 20, 2011. http://arxiv.org/abs/1111.4679. | * Boston, Nigel, Michael R. Bush, and Farshid Hajir. “Heuristics for <math>p</math>-Class Towers of Imaginary Quadratic Fields, with an Appendix by Jonathan Blackhurst.” arXiv:1111.4679 [math], November 20, 2011. http://arxiv.org/abs/1111.4679. | ||
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* [{'LOWER': 'cohen'}, {'OP': '*'}, {'LOWER': 'lenstra'}, {'LEMMA': 'heuristic'}] | * [{'LOWER': 'cohen'}, {'OP': '*'}, {'LOWER': 'lenstra'}, {'LEMMA': 'heuristic'}] | ||
* [{'LOWER': 'cohen'}, {'OP': '*'}, {'LEMMA': 'Lenstra'}] | * [{'LOWER': 'cohen'}, {'OP': '*'}, {'LEMMA': 'Lenstra'}] | ||
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2021년 2월 21일 (일) 22:47 판
관련논문
- Milovic, Djordjo. “On the \(16\)-Rank of Class Groups of \(\mathbb{Q}(\sqrt{-8p})\) for \(p\equiv -1\bmod 4\).” arXiv:1511.07127 [math], November 23, 2015. http://arxiv.org/abs/1511.07127.
- Bartel, Alex, and Hendrik W. Lenstra Jr. “Commensurability of Automorphism Groups.” arXiv:1510.02758 [math], October 9, 2015. http://arxiv.org/abs/1510.02758.
- Wood, Melanie Matchett. ‘Random Integral Matrices and the Cohen Lenstra Heuristics’. arXiv:1504.04391 [math], 16 April 2015. http://arxiv.org/abs/1504.04391.
- Boston, Nigel, Michael R. Bush, and Farshid Hajir. “Heuristics for \(p\)-Class Towers of Imaginary Quadratic Fields, with an Appendix by Jonathan Blackhurst.” arXiv:1111.4679 [math], November 20, 2011. http://arxiv.org/abs/1111.4679.
노트
말뭉치
- Ideas such as these will help fuel discussion on what assumptions on a set of fields is necessary to expect random distribution of class group behavior as the Cohen-Lenstra conjectures predict![1]
- At the meeting, we hope to have presentations on the various aspects of the Cohen-Lenstra conjectures described above, including the recent re-thinking of the conjectures by Lenstra himself.[1]
- "New Computations Concerning the Cohen-Lenstra Heuristics.[2]
- In this paper we study the compatibility of Cohen–Lenstra heuristics with Leopoldt's Spiegelungssatz (the reflection theorem).[3]
- He proved the compatibility of the Cohen–Lenstra conjectures with the Spiegelungssatz in the case p=3.[3]
- We report on computational results indicating that the well-known Cohen–Lenstra–Martinet heuristic for class groups of number fields may fail in many situations.[4]
- The Cohen-Lenstra heuristics were initially postulated in the early 1980s for the class groups of number fields.[5]
- The past ten years have seen an explosion of activity surrounding the Cohen-Lenstra heuristics.[5]
- Moreover Cohen-Lenstra type phenomena have been observed in such diverse areas of pure mathematics as elliptic curves, hyperbolic 3-manifolds, and the Jacobians of graphs.[5]
- This article deals with the coherence of the model given by the Cohen–Lenstra heuristic philosophy for class groups and also for their generalizations to Tate–Shafarevich groups.[6]
- The Cohen-Lenstra Heuristics conjecturally give the distribution of class groups of imaginary quadratic fields.[7]
소스
- ↑ 1.0 1.1 ARCC Workshop: The Cohen-Lenstra heuristics for class groups
- ↑ New Computations Concerning the Cohen-Lenstra Heuristics
- ↑ 3.0 3.1 Cohen–Lenstra Heuristics and the Spiegelungssatz: Number Fields
- ↑ Cohen–Lenstra heuristic and roots of unity
- ↑ 5.0 5.1 5.2 Conference on Arithmetic Statistics and the Cohen-Lenstra Heuristics
- ↑ The Cohen–Lenstra heuristics, moments and $p^j$-ranks of some groupsAll
- ↑ Nonabelian Cohen-Lenstra heuristics and function field theorems
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Spacy 패턴 목록
- [{'LOWER': 'cohen'}, {'OP': '*'}, {'LOWER': 'lenstra'}, {'LEMMA': 'heuristic'}]
- [{'LOWER': 'cohen'}, {'OP': '*'}, {'LEMMA': 'Lenstra'}]