Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis   Balazard, Saias, and Yor proved that the Riemann Hypothesis is equivalent to
a certain weighted integral of the logarithm of the Riemann zeta-function along
the critical line equaling zero. Assuming the Riemann Hypothesis, we
investigate the rate at which a truncated version of this integral tends to
zero, answering a question of Borwein, Bradley, and Crandall and disproving a
conjecture of the same authors. A simple modification of our techniques gives a
new proof of a classical Omega theorem for the function S(t) in the theory of
the Riemann zeta-function.

12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph