Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Independence of the zeros of elliptic curve L-functions over function
  fields   The Linear Independence hypothesis (LI), which states roughly that the
imaginary parts of the critical zeros of Dirichlet L-functions are linearly
independent over the rationals, is known to have interesting consequences in
the study of prime number races, as was pointed out by Rubinstein and Sarnak.
In this paper, we prove that a function field analogue of LI holds generically
within certain families of elliptic curve L-functions and their symmetric
powers. More precisely, for certain algebro-geometric families of elliptic
curves defined over the function field of a fixed curve over a finite field, we
give strong quantitative bounds for the number of elements in the family for
which the relevant L-functions have their zeros as linearly independent over
the rationals as possible.

36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th