Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on special values of L-functions of elliptic curves in an
  Artin-Schreier family   In this paper, we study a certain Artin--Schreier family of elliptic curves
over the function field $\mathbb{F}_q(t)$. We prove an asymptotic estimate on
the size of the special value of their $L$-function in terms of the degree of
their conductor; loosely speaking, we show that the special values are
"asymptotically as large as possible".
  We also provide an explicit expression for the $L$-function of the elliptic
curves in the family. The proof of the main result uses this expression and a
detailed study of the distribution of some character sums related to
Kloosterman sums. Via the BSD conjecture, the main result translates into an
analogue of the Brauer--Siegel theorem for these elliptic curves.

19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs