Recurrences and determinantal expressions for values of the Dirichlet L-function

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dc.contributor.authorAgoh, Takashi
dc.coverage.issue1cs
dc.coverage.volume8cs
dc.date.accessioned2020-05-05T06:06:38Z
dc.date.available2020-05-05T06:06:38Z
dc.date.issued2019cs
dc.description.abstractIn this paper, by applying a certain Saalsch ütz–Gelfand type formulafor generalized Bernoulli numbers, we first studyshortenedrecurrence relations forthe values of the DirichletL-function attached to a primitive character at non-positive integers and then derive some detreminantal expressions for these values.Further, we discuss several kinds of infinite sums involving the Riemann zeta valuesat negative odd integers and establish some closed formulas for them by making useof special identities related to the reciprocals of central binomial numbers.en
dc.formattextcs
dc.format.extent1-16cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMathematics for Applications. 2019 vol. 8, č. 1, s. 1-16. ISSN 1805-3629cs
dc.identifier.doi10.13164/ma.2019.01en
dc.identifier.issn1805-3629
dc.identifier.urihttp://hdl.handle.net/11012/186959
dc.language.isoencs
dc.publisherVysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.relation.ispartofMathematics for Applicationsen
dc.relation.urihttp://ma.fme.vutbr.cz/archiv/8_1/ma_8_1_agoh_final.pdfcs
dc.rights© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.rights.accessopenAccessen
dc.titleRecurrences and determinantal expressions for values of the Dirichlet L-functionen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.departmentÚstav matematikycs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
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