Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function

The Lindelöf-Wirtinger expansion of the Lerch transcendent function implies, as a limiting case, Hurwitz's formula for the eponymous zeta function. A generalized form of Möbius inversion applies to the Lindelöf-Wirtinger expansion and also implies an inversion formula for the Hurwitz zeta funct...

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Detalles Bibliográficos
Autores: Navas, L.M. [0000-0002-5742-8679], Ruiz, F.J., Varona, J.L. [0000-0002-2023-9946]
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2015
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc6987b750603269e81cdc
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc6987b750603269e81cdc
Access Level:acceso abierto
Palabra clave:Fourier series
Lerch transcendent function
Möbius inversion
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spelling Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent functionNavas, L.M. [0000-0002-5742-8679]Ruiz, F.J.Varona, J.L. [0000-0002-2023-9946]Fourier seriesLerch transcendent functionMöbius inversionThe Lindelöf-Wirtinger expansion of the Lerch transcendent function implies, as a limiting case, Hurwitz's formula for the eponymous zeta function. A generalized form of Möbius inversion applies to the Lindelöf-Wirtinger expansion and also implies an inversion formula for the Hurwitz zeta function as a limiting case. The inverted formulas involve the dynamical system of rotations of the circle and yield an arithmetical functional equation.2015info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc6987b750603269e81cdcreponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/wos/WOS:000351442000012info:eu-repo/semantics/altIdentifier/pissn/0025-5718Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function, 2015, vol. 84, núm. 292, pág. 803-813info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc6987b750603269e81cdc2026-06-14T12:47:17Z
dc.title.none.fl_str_mv Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function
title Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function
spellingShingle Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function
Navas, L.M. [0000-0002-5742-8679]
Fourier series
Lerch transcendent function
Möbius inversion
title_short Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function
title_full Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function
title_fullStr Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function
title_full_unstemmed Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function
title_sort Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function
dc.creator.none.fl_str_mv Navas, L.M. [0000-0002-5742-8679]
Ruiz, F.J.
Varona, J.L. [0000-0002-2023-9946]
author Navas, L.M. [0000-0002-5742-8679]
author_facet Navas, L.M. [0000-0002-5742-8679]
Ruiz, F.J.
Varona, J.L. [0000-0002-2023-9946]
author_role author
author2 Ruiz, F.J.
Varona, J.L. [0000-0002-2023-9946]
author2_role author
author
dc.subject.none.fl_str_mv Fourier series
Lerch transcendent function
Möbius inversion
topic Fourier series
Lerch transcendent function
Möbius inversion
description The Lindelöf-Wirtinger expansion of the Lerch transcendent function implies, as a limiting case, Hurwitz's formula for the eponymous zeta function. A generalized form of Möbius inversion applies to the Lindelöf-Wirtinger expansion and also implies an inversion formula for the Hurwitz zeta function as a limiting case. The inverted formulas involve the dynamical system of rotations of the circle and yield an arithmetical functional equation.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
Subtype: Article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://investigacion.unirioja.es/documentos/5bbc6987b750603269e81cdc
url https://investigacion.unirioja.es/documentos/5bbc6987b750603269e81cdc
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/wos/WOS:000351442000012
info:eu-repo/semantics/altIdentifier/pissn/0025-5718
Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function, 2015, vol. 84, núm. 292, pág. 803-813
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:RIUR. Repositorio Institucional de la Universidad de La Rioja
instname:Universidad de La Rioja (UR)
instname_str Universidad de La Rioja (UR)
reponame_str RIUR. Repositorio Institucional de la Universidad de La Rioja
collection RIUR. Repositorio Institucional de la Universidad de La Rioja
repository.name.fl_str_mv
repository.mail.fl_str_mv
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