Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the $k$-resultant modulus set problem on varieties over finite fields   Let $V\subset \mathbb{F}_q^d$ be a \textit{regular} variety, $k\ge 3$ is an
integer and $A\subseteq V$. Covert, Koh, and Pi (2017) proved the following
generalization of the Erd\H{o}s-Falconer distance problem: If $|A|\gg
q^{\frac{d-1}{2}+\frac{1}{k-1}}$, then we have
\[\Delta_{k}(A)=\{|x_1+\cdots+x_k|\colon x_i\in A\}\supseteq \mathbb{F}_q^*.\]
In this paper, we provide improvements and extensions of their result.

8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol