Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Secondary terms in the asymptotics of moments of L-functions   We propose a refined version of the existing conjectural asymptotic formula
for the moments of the family of quadratic Dirichlet L-functions over rational
function fields. Our prediction is motivated by two natural conjectures that
provide sufficient information to determine the analytic properties
(meromorphic continuation, location of poles, and the residue at each pole) of
a certain generating function of moments of quadratic L-functions. The number
field analogue of our asymptotic formula can be obtained by a similar
procedure, the only difference being the contributions coming from the
archimedean and even places, which require a separate analysis. To avoid this
additional technical issue, we present, for simplicity, the asymptotic formula
only in the rational function field setting. This has also the advantage of
being much easier to test.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph