dc.contributor.author Thuong, L.Q. dc.contributor.author Nguyen, H.D. dc.date.accessioned 2017-05-14T15:40:50Z dc.date.available 2017-05-14T15:40:50Z dc.date.issued 2017-05-14 dc.identifier.issn 1534-7486 dc.identifier.uri http://hdl.handle.net/20.500.11824/674 dc.description.abstract We introduce a new notion of $\boxast$-product of two integrable series with coefficients in distinct Grothendieck rings of algebraic varieties, preserving the integrability of 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 $\boxast$-product is associative in the class of motivic multiple zeta functions. en_US Furthermore, a version of the Euler reflexion formula for motivic zeta functions is nicely formulated to deal with the $\boxast$-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. dc.format application/pdf en_US dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.title Euler reflexion formulas for motivic multiple zeta functions en_US dc.type info:eu-repo/semantics/article en_US dc.identifier.doi 10.1090/jag/689 dc.relation.publisherversion http://www.ams.org/journals/jag/0000-000-00/S1056-3911-2017-00689-1/home.html en_US dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/615655 en_US dc.relation.projectID ES/1PE/SEV-2013-0323 en_US dc.relation.projectID EUS/BERC/BERC.2014-2017 en_US dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/publishedVersion en_US dc.journal.title Journal of Algebraic Geometry en_US
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