Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distribution of irrational zeta values   In this paper we refine Ball-Rivoal's theorem by proving that for any odd
integer $a$ sufficiently large in terms of $\epsilon>0$, there exist $[
\frac{(1-\epsilon)\log a}{1+\log 2}]$ odd integers $s$ between 3 and $a$, with
distance at least $a^{\epsilon}$ from one another, at which Riemann zeta
function takes $\Q$-linearly independent values. As a consequence, if there are
very few integers $s$ such that $\zeta(s)$ is irrational, then they are rather
evenly distributed. The proof involves series of hypergeometric type estimated
by the saddle point method, and the generalization to vectors of Nesterenko's
linear independence criterion.

19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph