Application of a 'Jacobi identity' for vertex operator algebras to zeta values and differential operators

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Abstract

We explain how to use a certain new 'Jacobi identity' for vertex operator algebras, announced in a previous paper (math.QA/9909178), to interpret and generalize S. Bloch's recent work relating values of the Riemann zeta function at negative integers to a certain Lie algebra of operators.

Original languageEnglish (US)
Pages (from-to)87-103
Number of pages17
JournalLetters in Mathematical Physics
Volume53
Issue number2
DOIs
StatePublished - Jul 2 2000

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • Bernoulli numbers
  • Lie algebras of differential operators
  • Riemann zeta function
  • Vertex operator algebras

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