Vertex Operator Algebras and the Zeta Function

  title={Vertex Operator Algebras and the Zeta Function},
  author={James Lepowsky},
We announce a new type of " Jacobi identity " for vertex operator algebras, incorporating values of the Riemann zeta function at negative integers. Using this we " explain " and generalize some recent work of S. Bloch's relating values of the zeta function with the commutators of certain operators and Lie algebras of differential operators.