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Article: New identities involving sums of the tails related to real quadratic fields

TitleNew identities involving sums of the tails related to real quadratic fields
Authors
Issue Date2010
Citation
Ramanujan Journal, 2010, v. 23 n. 1, p. 243-251 How to Cite?
AbstractIn previous work, the authors discovered new examples of q-hypergeometric series related to the arithmetic of $\mathbb {Q}(\sqrt{2})$ and $\mathbb{Q}(\sqrt{3})$ . Building on this work, we construct in this paper sum of the tails identities for which some which some of these functions occur as error terms. As an application, we obtain formulas for the generating function of a certain zeta functions for real quadratic fields at negative integers.
Persistent Identifierhttp://hdl.handle.net/10722/192193
ISSN
2015 Impact Factor: 0.563
2015 SCImago Journal Rankings: 0.782
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorBringmann, Ken_US
dc.contributor.authorKane, Ben_US
dc.date.accessioned2013-10-23T09:27:17Z-
dc.date.available2013-10-23T09:27:17Z-
dc.date.issued2010en_US
dc.identifier.citationRamanujan Journal, 2010, v. 23 n. 1, p. 243-251en_US
dc.identifier.issn1382-4090en_US
dc.identifier.urihttp://hdl.handle.net/10722/192193-
dc.description.abstractIn previous work, the authors discovered new examples of q-hypergeometric series related to the arithmetic of $\mathbb {Q}(\sqrt{2})$ and $\mathbb{Q}(\sqrt{3})$ . Building on this work, we construct in this paper sum of the tails identities for which some which some of these functions occur as error terms. As an application, we obtain formulas for the generating function of a certain zeta functions for real quadratic fields at negative integers.-
dc.languageengen_US
dc.relation.ispartofRamanujan Journalen_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleNew identities involving sums of the tails related to real quadratic fieldsen_US
dc.typeArticleen_US
dc.description.naturepostprint-
dc.identifier.doi10.1007/s11139-009-9178-9en_US
dc.identifier.scopuseid_2-s2.0-78649643605en_US
dc.identifier.volume23en_US
dc.identifier.issue1en_US
dc.identifier.spage243en_US
dc.identifier.epage251en_US
dc.identifier.isiWOS:000284594000016-

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