Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beyond the Weyl barrier for $\mathrm{GL}(2)$ exponential sums   In this paper, we use the Bessel $\delta$-method, along with new variants of
the van der Corput method in two dimensions, to prove non-trivial bounds for
$\mathrm{GL}(2)$ exponential sums beyond the Weyl barrier. More explicitly, for
sums of $\mathrm{GL}(2)$ Fourier coefficients twisted by $e(f(n))$, with length
$N$ and phase $f(n)=N^{\beta} \log n / 2\pi$ or $a n^{\beta}$, non-trivial
bounds are established for $ \beta < 1.63651... $, which is beyond the Weyl
barrier at $\beta = 3/2$.

29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph