Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiple Dirichlet series and moments of zeta and L-functions   This paper develops an analytic theory of Dirichlet series in several complex
variables which possess sufficiently many functional equations. In the first
two sections it is shown how straightforward conjectures about the meromorphic
continuation and polar divisors of certain such series imply, as a consequence,
precise asymptotics (previously conjectured via random matrix theory) for
moments of zeta functions and quadratic L-series. As an application of the
theory, in a third section, we obtain the current best known error term for
mean values of cubes of central values of Dirichlet L-series. The methods
utilized to derive this result are the convexity principle for functions of
several complex variables combined with a knowledge of groups of functional
equations for certain multiple Dirichlet series.

36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int