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dc.contributor.authorThuong, Lê Quy
dc.contributor.authorNguyen, Hong Duc
dc.date.accessioned2016-09-22T10:46:37Z
dc.date.available2016-09-22T10:46:37Z
dc.date.issued2015-11-18
dc.identifier.urihttp://publications.mfo.de/handle/mfo/193
dc.descriptionOWLF 2015en_US
dc.description.abstractWe introduce a new notion of *-product of two integrable series with coeficients in distinct Grothendieck rings of algebraic varieties, preserving the integrability and commuting with the limit of rational series. In the same context, we define a motivic multiple zeta function with respect to an ordered family of regular functions, which is integrable and connects closely to Denef-Loeser's motivic zeta functions. We also show that the *-product is associative in the class of motivic multiple zeta functions. Furthermore, a version of the Euler reflexion formula for motivic zeta functions is nicely formulated to deal with the *-product and motivic multiple zeta functions, and it is proved for both univariate and multivariate cases by using the theory of arc spaces. As an application, taking the limit for the motivic Euler reflexion formula we recover the well known motivic Thom-Sebastiani theorem.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2015,17
dc.titleEuler Reflexion Formulas for Motivic Multiple Zeta Functionsen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2015-17
local.scientificprogramOWLF 2015
local.series.idOWP-2015-17
dc.identifier.urnurn:nbn:de:101:1-201511175735
dc.identifier.ppn1658876008


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