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2020-05-26Zeitschriftenartikel DOI: 10.18452/21630
Functional relations for elliptic polylogarithms
dc.contributor.authorBroedel, Johannes
dc.contributor.authorKaderli, André
dc.date.accessioned2020-07-22T11:52:07Z
dc.date.available2020-07-22T11:52:07Z
dc.date.issued2020-05-26none
dc.identifier.urihttp://edoc.hu-berlin.de/18452/22350
dc.description.abstractNumerous examples of functional relations for multiple polylogarithms are known. For elliptic polylogarithms, however, tools for the exploration of functional relations are available, but only very few relations are identified. Starting from an approach of Zagier and Gangl, which in turn is based on considerations about an elliptic version of the Bloch group, we explore functional relations between elliptic polylogarithms and link them to the relations which can be derived using the elliptic symbol formalism. The elliptic symbol formalism in turn allows for an alternative proof of the validity of the elliptic Bloch relation. While the five-term identity is the prime example of a functional identity for multiple polylogarithms and implies many dilogarithm identities, the situation in the elliptic setup is more involved: there is no simple elliptic analogue, but rather a whole class of elliptic identities.eng
dc.language.isoengnone
dc.publisherHumboldt-Universität zu Berlin
dc.rights(CC BY 4.0) Attribution 4.0 Internationalger
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectelliptic polylogarithmseng
dc.subjectiterated integralseng
dc.subjectfunctional relationseng
dc.subjectBloch groupeng
dc.subject.ddc530 Physiknone
dc.titleFunctional relations for elliptic polylogarithmsnone
dc.typearticle
dc.identifier.urnurn:nbn:de:kobv:11-110-18452/22350-6
dc.identifier.doihttp://dx.doi.org/10.18452/21630
dc.type.versionpublishedVersionnone
local.edoc.pages56none
local.edoc.type-nameZeitschriftenartikel
local.edoc.container-typeperiodical
local.edoc.container-type-nameZeitschrift
dc.description.versionPeer Reviewednone
dc.identifier.eissn1751-8121
dcterms.bibliographicCitation.doi10.1088/1751-8121/ab81d7
dcterms.bibliographicCitation.journaltitleJournal of Physics A: Mathematical and Theoreticalnone
dcterms.bibliographicCitation.volume53none
dcterms.bibliographicCitation.issue24none
dcterms.bibliographicCitation.articlenumber245201none
dcterms.bibliographicCitation.originalpublishernameIOP Publishingnone
dcterms.bibliographicCitation.originalpublisherplaceBristolnone
bua.departmentMathematisch-Naturwissenschaftliche Fakultätnone

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