Alberts, Brandon Cohen-Lenstra moments for some nonabelian groups. (English. French summary) Zbl 1466.11083 J. Théor. Nombres Bordx. 32, No. 3, 631-664 (2020). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R29 11N56 20E22 20F28 PDF BibTeX XML Cite \textit{B. Alberts}, J. Théor. Nombres Bordx. 32, No. 3, 631--664 (2020; Zbl 1466.11083) Full Text: DOI arXiv
Lewis, Codie; Williams, Cassandra Numerical secondary terms in a Cohen-Lenstra conjecture on real quadratic fields. (English) Zbl 1458.11158 Involve 12, No. 2, 221-233 (2019). MSC: 11R29 11R11 11Y35 PDF BibTeX XML Cite \textit{C. Lewis} and \textit{C. Williams}, Involve 12, No. 2, 221--233 (2019; Zbl 1458.11158) Full Text: DOI
Achter, Jeffrey D. The distribution of torsion subschemes of abelian varieties. (English) Zbl 1370.14023 J. Inst. Math. Jussieu 15, No. 4, 693-710 (2016). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 14G17 14K10 14L05 14L15 PDF BibTeX XML Cite \textit{J. D. Achter}, J. Inst. Math. Jussieu 15, No. 4, 693--710 (2016; Zbl 1370.14023) Full Text: DOI arXiv
Garton, Derek Some finite abelian group theory and some \(q\)-series identities. (English) Zbl 1405.11020 Ann. Comb. 20, No. 2, 361-371 (2016). MSC: 11B65 05E15 20K01 PDF BibTeX XML Cite \textit{D. Garton}, Ann. Comb. 20, No. 2, 361--371 (2016; Zbl 1405.11020) Full Text: DOI arXiv
Ellenberg, Jordan S.; Venkatesh, Akshay; Westerland, Craig Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields. (English) Zbl 1342.14055 Ann. Math. (2) 183, No. 3, 729-786 (2016). Reviewer: Dawei Chen (Chestnut Hill) MSC: 14H10 11R58 14H30 11G20 14G17 PDF BibTeX XML Cite \textit{J. S. Ellenberg} et al., Ann. Math. (2) 183, No. 3, 729--786 (2016; Zbl 1342.14055) Full Text: DOI arXiv
Garton, Derek Random matrices, the Cohen-Lenstra heuristics, and roots of unity. (English) Zbl 1326.11068 Algebra Number Theory 9, No. 1, 149-171 (2015). Reviewer: Alessandro Cobbe (Neubiberg) MSC: 11R29 11R58 15B52 PDF BibTeX XML Cite \textit{D. Garton}, Algebra Number Theory 9, No. 1, 149--171 (2015; Zbl 1326.11068) Full Text: DOI arXiv
Boy, Maximilian On the second class group of real quadratic number fields. (English) Zbl 1300.11114 Actes de la conférence “Théorie des nombres et applications”. Besançon: Presses Universitaires de Franche-Comté (ISBN 978-2-84867-472-8/pbk). Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2013, 49-66 (2013). Reviewer: James E. Carter (Charleston) MSC: 11R29 11R11 PDF BibTeX XML Cite \textit{M. Boy}, Publ. Math. Besançon, Algèbre Théor. Nombres 2013, 49--66 (2013; Zbl 1300.11114) Full Text: Link
Bae, Sunghan; Jung, Hwanyup On the 4-rank of ideal class groups of quadratic function fields. (English) Zbl 1320.11102 Acta Arith. 151, No. 4, 325-360 (2012). MSC: 11R58 11R11 11R29 11R47 PDF BibTeX XML Cite \textit{S. Bae} and \textit{H. Jung}, Acta Arith. 151, No. 4, 325--360 (2012; Zbl 1320.11102) Full Text: DOI
Lengler, Johannes The Cohen-Lenstra heuristic: methodology and results. (English) Zbl 1213.11167 J. Algebra 323, No. 10, 2960-2976 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11M50 11R29 20P05 60B15 PDF BibTeX XML Cite \textit{J. Lengler}, J. Algebra 323, No. 10, 2960--2976 (2010; Zbl 1213.11167) Full Text: DOI arXiv
Jacobson, Michael J. jun.; Williams, Hugh C. Solving the Pell equation. (English) Zbl 1177.11027 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. New York, NY: Springer (ISBN 978-0-387-84922-5/hbk; 978-0-387-84923-2/ebook). xx, 495 p. (2009). Reviewer: Volker Ziegler (Graz) MSC: 11D09 11-02 11R11 11R27 11R29 11Y40 94A60 PDF BibTeX XML Cite \textit{M. J. Jacobson jun.} and \textit{H. C. Williams}, Solving the Pell equation. New York, NY: Springer (2009; Zbl 1177.11027) Full Text: DOI
Malle, Gunter Cohen-Lenstra heuristic and roots of unity. (English) Zbl 1225.11143 J. Number Theory 128, No. 10, 2823-2835 (2008). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R29 11R16 11Y40 PDF BibTeX XML Cite \textit{G. Malle}, J. Number Theory 128, No. 10, 2823--2835 (2008; Zbl 1225.11143) Full Text: DOI
Delaunay, Christophe Heuristics on class groups and on Tate-Shafarevich groups: the magic of the Cohen-Lenstra heuristics. (English) Zbl 1231.11129 Conrey, J. B. (ed.) et al., Ranks of elliptic curves and random matrix theory. Cambridge: Cambridge University Press (ISBN 0-521-69964-9/pbk). London Mathematical Society Lecture Note Series 341, 323-340 (2007). MSC: 11R29 11G40 11G05 11R45 PDF BibTeX XML Cite \textit{C. Delaunay}, Lond. Math. Soc. Lect. Note Ser. 341, 323--340 (2007; Zbl 1231.11129) Full Text: DOI
Fouvry, Étienne; Klüners, Jürgen On the 4-rank of class groups of quadratic number fields. (English) Zbl 1126.11062 Invent. Math. 167, No. 3, 455-513 (2007). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R29 11R11 11R45 PDF BibTeX XML Cite \textit{É. Fouvry} and \textit{J. Klüners}, Invent. Math. 167, No. 3, 455--513 (2007; Zbl 1126.11062) Full Text: DOI
Jacobson, Michael J.; Ramachandran, Shantha; Williams, Hugh C. Numerical results on class groups of imaginary quadratic fields. (English) Zbl 1143.11370 Hess, Florian (ed.) et al., Algorithmic number theory. 7th international symposium, ANTS-VII, Berlin, Germany, July 23–28, 2006. Proceedings. Berlin: Springer (ISBN 3-540-36075-1/pbk). Lecture Notes in Computer Science 4076, 87-101 (2006). MSC: 11Y40 11M20 11R11 11R29 PDF BibTeX XML Cite \textit{M. J. Jacobson} et al., Lect. Notes Comput. Sci. 4076, 87--101 (2006; Zbl 1143.11370) Full Text: DOI
Fouvry, Étienne; Klüners, Jürgen Cohen-Lenstra heuristics of quadratic number fields. (English) Zbl 1143.11352 Hess, Florian (ed.) et al., Algorithmic number theory. 7th international symposium, ANTS-VII, Berlin, Germany, July 23–28, 2006. Proceedings. Berlin: Springer (ISBN 3-540-36075-1/pbk). Lecture Notes in Computer Science 4076, 40-55 (2006). MSC: 11R29 11R11 11R45 PDF BibTeX XML Cite \textit{É. Fouvry} and \textit{J. Klüners}, Lect. Notes Comput. Sci. 4076, 40--55 (2006; Zbl 1143.11352) Full Text: DOI
Yu, Gang A note on the divisibility of class numbers of real quadratic fields. (English) Zbl 1036.11057 J. Number Theory 97, No. 1, 35-44 (2002). Reviewer: Ken Yamamura (Yokosuka) MSC: 11R29 11R11 PDF BibTeX XML Cite \textit{G. Yu}, J. Number Theory 97, No. 1, 35--44 (2002; Zbl 1036.11057) Full Text: DOI
Lee, Yoonjin Cohen-Lenstra heuristics and the Spiegelungssatz: number fields. (English) Zbl 1026.11080 J. Number Theory 92, No. 1, 37-66 (2002). Reviewer: Ken Yamamura (Yokosuka) MSC: 11R29 11R37 11Y40 11R11 PDF BibTeX XML Cite \textit{Y. Lee}, J. Number Theory 92, No. 1, 37--66 (2002; Zbl 1026.11080) Full Text: DOI
Delaunay, Christophe Heuristics on Tate-Shafarevitch groups of elliptic curves defined over \(\mathbb{Q}\). (English) Zbl 1045.11038 Exp. Math. 10, No. 2, 191-196 (2001). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11G05 11R29 11R45 PDF BibTeX XML Cite \textit{C. Delaunay}, Exp. Math. 10, No. 2, 191--196 (2001; Zbl 1045.11038) Full Text: DOI EuDML
Byeon, Dongho Indivisibility of class numbers and Iwasawa \(\lambda\)-invariants of real quadratic fields. (English) Zbl 1014.11068 Compos. Math. 126, No. 3, 249-256 (2001). Reviewer: Hisao Taya (Sendai) MSC: 11R29 11R23 11R11 PDF BibTeX XML Cite \textit{D. Byeon}, Compos. Math. 126, No. 3, 249--256 (2001; Zbl 1014.11068) Full Text: DOI
Friesen, Christian Bounds for frequencies of class groups of real quadratic genus 1 function fields. (English) Zbl 1077.11081 Acta Arith. 96, No. 4, 313-331 (2001). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11R58 11R29 11G20 PDF BibTeX XML Cite \textit{C. Friesen}, Acta Arith. 96, No. 4, 313--331 (2001; Zbl 1077.11081) Full Text: DOI
Ono, Ken Indivisibility of class numbers of real quadratic fields. (English) Zbl 1002.11080 Compos. Math. 119, No. 1, 1-11 (1999). MSC: 11R29 11R11 11E41 PDF BibTeX XML Cite \textit{K. Ono}, Compos. Math. 119, No. 1, 1--11 (1999; Zbl 1002.11080) Full Text: DOI
Murty, M. Ram Exponents of class groups of quadratic fields. (English) Zbl 0993.11059 Ahlgren, Scott D. (ed.) et al., Topics in number theory. In honor of B. Gordon and S. Chowla. Proceedings of the conference, Pennsylvania State University, University Park, PA, USA, July 31-August 3, 1997. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 467, 229-239 (1999). MSC: 11R29 11R11 11R09 PDF BibTeX XML Cite \textit{M. R. Murty}, Math. Appl., Dordr. 467, 229--239 (1999; Zbl 0993.11059)
Friesen, Christian A special case of Cohen-Lenstra heuristics in function fields. (English) Zbl 0993.11058 Gupta, Rajiv (ed.) et al., Number theory. Fifth conference of the Canadian Number Theory Association, Ottawa, Ontario, Canada, August 17-22, 1996. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 19, 99-105 (1999). MSC: 11R29 11R58 PDF BibTeX XML Cite \textit{C. Friesen}, in: Number theory. Fifth conference of the Canadian Number Theory Association, Ottawa, Ontario, Canada, August 17--22, 1996. Providence, RI: American Mathematical Society. 99--105 (1999; Zbl 0993.11058)
Washington, Lawrence C.; Zhang, Xianke Heuristics and related results on class groups of real quadratic fields. (English) Zbl 0961.11039 Sci. China, Ser. A 41, No. 4, 365-370 (1998). Reviewer: Charles Parry (Blacksburg) MSC: 11R29 11R11 PDF BibTeX XML Cite \textit{L. C. Washington} and \textit{X. Zhang}, Sci. China, Ser. A 41, No. 4, 365--370 (1998; Zbl 0961.11039) Full Text: DOI
Friedman, Eduardo; Washington, Lawrence C. On the distribution of divisor class groups of curves over a finite field. (English) Zbl 0693.12013 Théorie des nombres, C. R. Conf. Int., Québec/Can. 1987, 227-239 (1989). Reviewer: Hans-Georg Rück (Essen) MSC: 11R58 11R29 14H05 PDF BibTeX XML
Llorente, Pascual; Quer, Jordi On the 3-Sylow subgroup of the class group of quadratic fields. (English) Zbl 0639.12003 Math. Comput. 50, No. 181, 321-333 (1988). Reviewer: H.Cohn MSC: 11R23 11R11 12-04 PDF BibTeX XML Cite \textit{P. Llorente} and \textit{J. Quer}, Math. Comput. 50, No. 181, 321--333 (1988; Zbl 0639.12003) Full Text: DOI
Gerth, Frank III Densities for ranks of certain parts of p-class groups. (English) Zbl 0625.12005 Proc. Am. Math. Soc. 99, 1-8 (1987). Reviewer: J.Hinz MSC: 11R45 11R23 11R18 PDF BibTeX XML Cite \textit{F. Gerth III}, Proc. Am. Math. Soc. 99, 1--8 (1987; Zbl 0625.12005) Full Text: DOI
Gerth, Frank III Extension of conjectures of Cohen and Lenstra. (English) Zbl 0613.12003 Expo. Math. 5, 181-184 (1987). Reviewer: F. Gerth MSC: 11R29 11R11 11R20 PDF BibTeX XML Cite \textit{F. Gerth III}, Expo. Math. 5, 181--184 (1987; Zbl 0613.12003)
Cohen, Henri; Martinet, Jacques A heuristic study of class groups. (Ein heuristisches Studium der Klassengruppen.) (German) Zbl 0628.12008 Ber. Math.-Stat. Sekt. Forschungszent. Graz 272, 59-69 (1986). Reviewer: B. Z. Moroz (Bonn) MSC: 11R29 11Y40 PDF BibTeX XML
Washington, Lawrence C. Some remarks on Cohen-Lenstra heuristics. (English) Zbl 0627.12002 Math. Comput. 47, 741-747 (1986). Reviewer: Hugh C. Williams (Winnipeg) MSC: 11R29 11R11 15A18 11G05 PDF BibTeX XML Cite \textit{L. C. Washington}, Math. Comput. 47, 741--747 (1986; Zbl 0627.12002) Full Text: DOI
Dutarte, Ph. Compatibilité avec le Spiegelungssatz de probabilités conjecturales sur le p-rang du groupe des classes. (French) Zbl 0576.12004 Publ. Math. Fac. Sci. Besançon, Théor. Nombres 1983/1984, 11 p. (1984). Reviewer: G.Gras MSC: 11R11 11R23 PDF BibTeX XML
Cohen, H.; Lenstra, H. W. jun. Heuristics on class groups. (English) Zbl 0532.12008 Number theory, Semin. New York 1982, Lect. Notes Math. 1052, 26-36 (1984). Reviewer: Hugh C. Williams (Winnipeg) MSC: 11R29 11R11 11Y40 11R16 11R18 PDF BibTeX XML
Cisotti, U. Tensore isotropo o emisotropo di minimo scarto da un tensore assegnato. (Italian) JFM 66.0816.01 Ist. Lombardo Sci. Lett., Rend., Cl. Sci. mat. natur. (3) 4, 85-93 (1940). Reviewer: Bortolotti, Enea, Prof. (Florenz) PDF BibTeX XML Cite \textit{U. Cisotti}, Ist. Lombardo, Rend., III. Ser. 4(73), 85--93 (1940; JFM 66.0816.01)