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Apery limits and special values of L-functions

dc.citation.epage513en_US
dc.citation.issue1en_US
dc.citation.spage492en_US
dc.citation.volume343en_US
dc.citation.woscount6
dc.contributor.authorYang, Yifanen_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.date.accessioned2014-12-08T15:11:15Z
dc.date.available2014-12-08T15:11:15Z
dc.date.issued2008-07-01en_US
dc.description.abstractWe describe a general method to determine the Apery limits of a differential equation that has a modular-function origin. As a by-product of our analysis, we discover a family of identities involving the special values of L-functions associated with modular forms. The proof of these identities is independent of differential equations and Apery limits. (C) 2008 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.jmaa.2008.01.094en_US
dc.identifier.issn0022-247Xen_US
dc.identifier.journalJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONSen_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.jmaa.2008.01.094en_US
dc.identifier.urihttps://ir.lib.nycu.edu.tw/handle/11536/8632
dc.identifier.wosnumberWOS:000255653900042
dc.language.isoen_USen_US
dc.subjectspecial values of L-functionsen_US
dc.subjectApery limitsen_US
dc.subjectmodular formsen_US
dc.titleApery limits and special values of L-functionsen_US
dc.typeArticleen_US

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