DISCREPANCIES OF PRODUCTS OF ZETA-REGULARIZED PRODUCTS

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dc.contributor.authorCastillo Garate, Victor
dc.contributor.authorFriedman, Eduardo
dc.date.accessioned2024-01-10T12:04:57Z
dc.date.available2024-01-10T12:04:57Z
dc.date.issued2012
dc.description.abstractZeta-regularized products (Pi) over cap (m) a(m) are known not to commute with finite products, so one studies the discrepancy F-n given by
dc.description.abstractexp(F-n) := (Pi) over cap (m) (Pi(n)(j=1) a(m,j))/Pi(n)(j=1) ((Pi) over cap (m)a(m,j)).
dc.description.abstractFor a rather general class of products, associated to polynomials P-j in several variables, we show that the discrepancy F-n(P-1, ... ,P-n) of n products is a sum of pairwise contributions F-2(P-i, P-j). Namely,
dc.description.abstract(Sigma(n)(j=1) deg P-j) F-n(P-1, ... ,P-n) = Sigma(1<i< j<n) (deg P-i + deg P-j) F-2(P-i, P-j).
dc.description.abstractThus, there are no higher interactions behind the non-commutativity.
dc.description.funderChilean Programa Iniciativa Cientifica Milenio
dc.description.funderChilean FONDECYT
dc.fechaingreso.objetodigital2024-06-18
dc.format.extent14 páginas
dc.fuente.origenWOS
dc.identifier.eissn1945-001X
dc.identifier.issn1073-2780
dc.identifier.urihttps://dx.doi.org/10.4310/MRL.2012.v19.n1.a16
dc.identifier.wosidWOS:000305635800016
dc.information.autorucMatemática;Castillo V ;S/I;127169
dc.issue.numero1
dc.language.isoen
dc.nota.accesoContenido parcial
dc.pagina.final212
dc.pagina.inicio199
dc.publisherINT PRESS BOSTON, INC
dc.revistaMATHEMATICAL RESEARCH LETTERS
dc.rightsacceso restringido
dc.subjectRegularized products
dc.subjectDirichlet series
dc.subjectDIRICHLET SERIES
dc.subjectPOLYNOMIALS
dc.subject.ods04 Quality Education
dc.subject.odspa04 Educación y calidad
dc.titleDISCREPANCIES OF PRODUCTS OF ZETA-REGULARIZED PRODUCTS
dc.typeartículo
dc.volumen19
sipa.codpersvinculados127169
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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