Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shortest Distance in Modular Hyperbola and Least Quadratic Nonresidue   In this paper, we study how small a box contains at least two points from a
modular hyperbola $x y \equiv c \pmod p$. There are two such points in a square
of side length $p^{1/4 + \epsilon}$. Furthermore, it turns out that either
there are two such points in a square of side length $p^{1/6 + \epsilon}$ or
the least quadratic nonresidue is less than $p^{1/(6 \sqrt{e}) + \epsilon}$.

26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio