Formal differential operators, vertex operator algebras and zeta--values, I

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dc.creatorMilas, Antun
dc.date2003-03-12
dc.date.accessioned2026-07-07T04:55:59Z
dc.date.available2026-07-07T04:55:59Z
dc.descriptionWe study relationships between spinor representations of certain Lie algebras and Lie superalgebras of differential operators on the circle and values of $ζ$--functions at the negative integers. By using formal calculus techniques we discuss the appearance of values of $ζ$--functions at the negative integers underlying the construction. In addition we provide a conceptual explanation of this phenomena through several different notions of normal ordering via vertex operator algebra theory. We also derive a general Jacobi--type identity generalizing our previous construction. At the end we discuss related constructions associated to Dirichlet $L$--functions.
dc.description52 pages, LaTeX (10pt, small font), BibTex
dc.identifierhttps://arxiv.org/abs/math/0303152
dc.identifierhttp://arxiv.org/abs/math/0303152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66772
dc.subjectQuantum Algebra
dc.subjectNumber Theory
dc.subjectRepresentation Theory
dc.titleFormal differential operators, vertex operator algebras and zeta--values, I
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