\(p^\ell\)-torsion points in finite abelian groups and combinatorial identities

DOI10.1016/j.aim.2014.02.033zbMath1286.11087arXiv1208.6397OpenAlexW2962977678MaRDI QIDQ2445827

Frédéric Jouhet, Christophe Delaunay

Publication date: 15 April 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.6397

zbMATH Keywords

symmetric functionCohen-Lenstra heuristics\( q\)-seriesclass group of number fieldsTate-Shafarevich group of elliptic curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Other combinatorial number theory (11B75) Finite abelian groups (20K01) Class numbers, class groups, discriminants (11R29)

Related Items (13)

A weighted Möbius function ⋮ Some finite abelian group theory and some \(q\)-series identities ⋮ A positive proportion of cubic curves over Q admit linear determinantal representations ⋮ Non-isotrivial elliptic surfaces with non-zero average root number ⋮ Unnamed Item ⋮ Universality of the cokernels of random 𝑝-adic Hermitian matrices ⋮ Joint distribution of the cokernels of random \(p\)-adic matrices ⋮ Universality for cokernels of random matrix products ⋮ Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks ⋮ Random partitions and Cohen-Lenstra heuristics ⋮ A heuristic for boundedness of ranks of elliptic curves ⋮ Statistics of \(K\)-groups modulo \(p\) for the ring of integers of a varying quadratic number field ⋮ Hall-Littlewood polynomials and Cohen-Lenstra heuristics for Jacobians of random graphs

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