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Article: New identities involving sums of the tails related to real quadratic fields
Title | New identities involving sums of the tails related to real quadratic fields |
---|---|
Authors | |
Keywords | Modular form q-hypergeometric series Real quadratic fields Sum of tails |
Issue Date | 2010 |
Citation | Ramanujan Journal, 2010, v. 23 n. 1, p. 243-251 How to Cite? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/192193 |
ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.712 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bringmann, K | en_US |
dc.contributor.author | Kane, B | en_US |
dc.date.accessioned | 2013-10-23T09:27:17Z | - |
dc.date.available | 2013-10-23T09:27:17Z | - |
dc.date.issued | 2010 | en_US |
dc.identifier.citation | Ramanujan Journal, 2010, v. 23 n. 1, p. 243-251 | en_US |
dc.identifier.issn | 1382-4090 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/192193 | - |
dc.description.abstract | In 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.language | eng | en_US |
dc.relation.ispartof | Ramanujan Journal | en_US |
dc.subject | Modular form | - |
dc.subject | q-hypergeometric series | - |
dc.subject | Real quadratic fields | - |
dc.subject | Sum of tails | - |
dc.title | New identities involving sums of the tails related to real quadratic fields | en_US |
dc.type | Article | en_US |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1007/s11139-009-9178-9 | en_US |
dc.identifier.scopus | eid_2-s2.0-78649643605 | en_US |
dc.identifier.volume | 23 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.spage | 243 | en_US |
dc.identifier.epage | 251 | en_US |
dc.identifier.isi | WOS:000284594000016 | - |
dc.identifier.issnl | 1382-4090 | - |