Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Formal differential operators, vertex operator algebras and
  zeta--values, I   We study relationships between spinor representations of certain Lie algebras
and Lie superalgebras of differential operators on the circle and values of
$\zeta$--functions at the negative integers. By using formal calculus
techniques we discuss the appearance of values of $\zeta$--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.

25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph