Multiplicative $q$-hypergeometric series arising from real quadratic fields

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dc.creatorBringmann, Kathrin
dc.creatorKane, Ben
dc.date2008-12-23
dc.date.accessioned2026-07-07T12:21:24Z
dc.date.available2026-07-07T12:21:24Z
dc.descriptionAndrews, Dyson, and Hickerson showed that 2 $q$-hypergeometric series, going back to Ramanujan, are related to real quadratic fields, which explains interesting properties of their Fourier coefficients. There is also an interesting relation of such series to automorphic forms. Here we construct more such examples arising from interesting combinatorial statistics.
dc.identifierhttps://arxiv.org/abs/0812.4397
dc.identifierhttp://arxiv.org/abs/0812.4397
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213352
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subject11P81, 11E16, 05A17
dc.titleMultiplicative $q$-hypergeometric series arising from real quadratic fields
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