Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decoupling, exponential sums and the Riemann zeta function   We establish a new decoupling inequality for curves in the spirit of [B-D1],
[B-D2] which implies a new mean value theorem for certain exponential sums
crucial to the Bombieri-Iwaniec method as developed further in [H]. In
particular, this leads to an improved bound $|\zeta(\frac 12+it)|\ll
t^{53/342+\varepsilon}$ for the zeta function on the critical line

29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys