Overpartitions and class numbers of binary quadratic forms

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dc.creatorBringmann, Kathrin
dc.creatorLovejoy, Jeremy
dc.date2007-12-04
dc.date.accessioned2026-07-07T08:47:23Z
dc.date.available2026-07-07T08:47:23Z
dc.descriptionWe show that the Zagier-Eisenstein series shares its non-holomorphic part with certain weak Maass forms whose holomorphic parts are generating functions for overpartition rank differences. This has a number of consequences, including exact formulas, asymptotics, and congruences for the rank differences as well as $q$-series identities of the mock theta type.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0712.0631
dc.identifierhttp://arxiv.org/abs/0712.0631
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143581
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.titleOverpartitions and class numbers of binary quadratic forms
dc.typetext

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