Averages of groups involving \(p^{\ell}\)-rank and combinatorial identities

DOI10.1016/j.jnt.2010.10.007zbMath1250.11096OpenAlexW2059450717MaRDI QIDQ626842

Christophe Delaunay

Publication date: 18 February 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.10.007

zbMATH Keywords

heuristicsclass groupsTate-Shafarevich groups

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

Some finite abelian group theory and some \(q\)-series identities ⋮ A \(q\)-multisum identity arising from finite chain ring probabilities ⋮ \(p^\ell\)-torsion points in finite abelian groups and combinatorial identities ⋮ Random partitions and Cohen-Lenstra heuristics

Cites Work

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• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli