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Article: Multiplicative q-hypergeometric series arising from real quadratic fields
Title | Multiplicative q-hypergeometric series arising from real quadratic fields |
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Authors | |
Issue Date | 2011 |
Citation | Transactions of the American Mathematical Society, 2011, v. 363 n. 4, p. 2191-2209 How to Cite? |
Abstract | Andrews, 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. |
Persistent Identifier | http://hdl.handle.net/10722/192195 |
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 1.581 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Bringmann, K | en_US |
dc.contributor.author | Kane, B | en_US |
dc.date.accessioned | 2013-10-23T09:27:18Z | - |
dc.date.available | 2013-10-23T09:27:18Z | - |
dc.date.issued | 2011 | en_US |
dc.identifier.citation | Transactions of the American Mathematical Society, 2011, v. 363 n. 4, p. 2191-2209 | en_US |
dc.identifier.issn | 0002-9947 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/192195 | - |
dc.description.abstract | Andrews, 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.language | eng | en_US |
dc.relation.ispartof | Transactions of the American Mathematical Society | en_US |
dc.rights | First published in [Transactions of the American Mathematical Society] in [2011, v. 363 n. 4], published by the American Mathematical Society | - |
dc.title | Multiplicative q-hypergeometric series arising from real quadratic fields | en_US |
dc.type | Article | en_US |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1090/S0002-9947-2010-05214-6 | en_US |
dc.identifier.scopus | eid_2-s2.0-79951840050 | en_US |
dc.identifier.volume | 363 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.spage | 2191 | en_US |
dc.identifier.epage | 2209 | en_US |
dc.identifier.isi | WOS:000288618200021 | - |
dc.identifier.issnl | 0002-9947 | - |