Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sub-Weyl subconvexity for Dirichlet L-functions to prime power moduli   We prove a subconvexity bound for the central value L(1/2, chi) of a
Dirichlet L-function of a character chi to a prime power modulus q=p^n of the
form L(1/2, chi)\ll p^r * q^(theta+epsilon) with a fixed r and theta\approx
0.1645 < 1/6, breaking the long-standing Weyl exponent barrier. In fact, we
develop a general new theory of estimation of short exponential sums involving
p-adically analytic phases, which can be naturally seen as a p-adic analogue of
the method of exponent pairs. This new method is presented in a ready-to-use
form and applies to a wide class of well-behaved phases including many that
arise from a stationary phase analysis of hyper-Kloosterman and other complete
exponential sums.

21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int